PUBLICATIONS
A) Papers published in refereed journals (SCI-list)
1) W. Koepf , P.M. Rajković , S.D. Marinković,
PROPERTIES OF q-HOLONOMIC FUNCTIONS,
Journal of Difference Equations and Applications, Vol. 13, No. 7, July 2007, 621–638.
2005Impact Factor: 0.615
(Cited by:
1. M KAUERS, C KOUTSCHAN, A MATHEMATICA PACKAGE FOR q-HOLONOMIC SEQUENCES AND POWER SERIES,
Technical Report 2007-16, SFB F013, Johannes Kepler Universität Linz, Austria,
http://www.risc.uni-linz.ac.at/research/combinat/software/ )
2) P.M. Rajković, M.D. Petković, P. Barry,
THE HANKEL TRANSFORM OF THE SUM OF CONSECUTIVE GENERALIZED CATALAN NUMBERS,
Integral Transforms and Special Functions, Vol. 18, Issue 4, 2007, 285--296.
3) P. Kozić, R. Pavlović, P.M. Rajković,
MOMENT LYAPUNOV EXPONENTS AND STOCHASTIC STABILITY OF A PARAMETRICALLY EXCITED OSCILLATOR,
Meccanica, Vol. 42 (2007) 323–330.
4) R. Pavlović, P.M. Rajković, I. Pavlović,
Dynamic stability of the viscoelastic rotating shaft subjected to random excitation,
International Journal of Mechanical Sciences, 50(2008), PP. 359-364.
5) R. Pavlović, P. Kozić, P.M. Rajković and I. Pavlović,
DYNAMIC STABILITY OF A THIN-WALLED BEAM SUBJECTED TO AXIAL LOADS AND END MOMENTS,
Journal of Sound and Vibration 301 (2007) 690–700)
6) M. Ivkovic, I.Djordjevic, P.M. Rajkovic , B. Vasic,
Pulse Energy Probability Density Functions for Long-Haul Optical Fiber Transmission Systems by Using Instantons and Edgeworth Expansion,
IEEE Photonics Technology Letters, vol 19, No 20, October 15, 2007, 1604--1606.
7) P.M. Rajković , S.D. Marinković and M.S. Stanković,
ON q-ORTHOGONAL POLYNOMIALS OVER A COLLECTION OF
COMPLEX ORIGIN INTERVALS RELATED TO LITTLE q-JACOBI POLYNOMIALS,
The Ramanujan Journal , Vol. 12, No. 2 (2006), 245-255.
8) P.M. Rajković , S.D. Marinković and M.S. Stanković,
ON q-NEWTON-KANTOROVICH METHOD FOR SOLVING SYSTEMS OF EQUATIONS,
Applied Mathematics and Computation, vol. 168/2 (2005 )pp. 1432-1448 .
(Cited by:
1. Qingbiao Wu, Yueqing Zhao,
Newton–Kantorovich type convergence theorem for a family of new deformed Chebyshev method,
Applied Mathematics and Computation Volume 192, Issue 2, 15 September 2007, Pages 405-412 )
9) S.D. Marinković , P.M. Rajković,
THE q--ANALOGUES OF LAGUERRE POLYNOMIALS OVER A COLLECTION OF COMPLEX ORIGIN INTERVALS,
Integral Transforms and Special Functions, Vol. 16, No. 2 (March 2005) pp.159-169.
10) R. Pavlović, P. Kozić and P. Rajković, INFLUENCE OF RANDOMLY VARYING DAMPING COEFFICIENT ON THE DYNAMIC STABILITY OF CONTINUOUS SYSTEMS,
European Journal of Mechanics A/Solids, 24 (2005), 81-87.
(Cited by:
Tylikowski: Stabilization of beam parametric vibration with shear deformations and rotary inertia effects,
International Journal of Solids and Structures (2005). )
11) S.D. Marinković, B. Danković, M.S. Stanković and P.M. Rajković,
ORTHOGONALITY OF SOME SEQUENCES OF THE RATIONAL FUNCTIONS
AND THE MUNTZ POLYNOMIALS,
Journal of Computational and Applied Mathematics vol. 163, (2004), 419-427.
12) A. Cvetković, P.M. Rajković and M. Ivković,
CATALAN NUMBERS, THE HANKEL TRANSFORM AND FIBONACCI NUMBERS,
The electronic Journal of Integer Sequences, ISSN 1530-7638, Dep. of Comp. Sc., University of Arizona, USA, May 2002.
(Cited by:
1. C. Krattenthaler, Advanced determinant calculus: A complement, Linear Algebra and its Applications 411 (2005) 68–166
2. J. Cigler: Some Relations between generalized Fibonacci and Catalan Numbers, Sitzungsber. Abt. II (2002), 211 143-154.
3. M. Chamberland, C. French, Generalized Catalan Numbers and
Generalized Hankel Transformations, Journal of Integer Sequences, Vol. 10 (2007). )
4. AS Cvetkovic, GV Milovanovic, The Mathematica Package “OrthogonalPolynomials”, - Facta Univ. Ser. Math. Inform, 2004.
13) R. Pavlović, P. Kozić and P.M. Rajković, INFLUENCE OF TRANSVERSE SHEAR ON THE STOCHASTIC INSTABILITY OF VISCOELASTIC BEAM, International Journal of Solids and Structures, 2001, Stanford, California.
14) G.V. Milovanović and P.M. Rajković,
ON POLYNOMIALS ORTHOGONAL ON A CIRCULAR ARC,
J. Comp. Appl. Math., vol. 51, North Holland, 1994., 1-13
(Cited by:
1. W.Gautschi: Orthogonal Polynomials: Computation and Approximation,, Clarendon Press - Oxford, 2003.
2. GV Milovanović, AS Cvetković ,Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions,-
Journal of Computational and Applied Mathematics, 2005
)
15) G.V. Milovanović and P.M. Rajković,
GERONIMUS CONCEPT OF ORTHOGONALITY FOR
POLYNOMIALS ORTHOGONAL ON A CIRCULAR ARC, Rendiconti di Mat., Ser. VII, vol.10, Roma, 1990., 383-390
B) Papers published in journals with international editorial board
1) P.M. Rajkovic, S.D. Marinkovic, M.S. Stankovic,
FRACTIONAL INTEGRALS AND DERIVATIVES IN q-CALCULUS,
Applicable Analysis and Discrete Mathematics, 1 (2007), 311–323.
2) P.M. Rajkovic, S.D. Marinkovic, M.S. Stankovic,
ON q–ANALOGS OF CAPUTO DERIVATIVE AND MITTAG–LEFFLER FUNCTION,
Fractional Calculus and Applied Analysis, (ISSN 1311-0454) ,
vol. 10, No 4 (2007), 359-374.
2) M. Stankovic , P.M. Rajkovic and S.D. Marinkovic,
INEQUALITIES WHICH INCLUDE q-INTEGRALS
Bulletin T. CXXXIII de l’Academie serbe des sciences et des arts, Classe des Sciences mathématiques et naturelles,
Sciences Mathématiques, No 31, Beograd 2006, 137-146.
3) P.M. Rajkovic, M.S. Stankovic and S.D. Marinkovic,
“A METHOD FOR NUMERICAL EVALUATING OF INVERSE Z-TRANSFORM”
Facta Universitatis, Nis, Ser. Mechanics, Automatic Control and Robotics, Vol. 4, No 16, 2004 pp. 133-139
UDC 519.6(045)
4) Predrag M. Rajkovic, Milos Ivkovic, Marko Petkovic,
A CONJECTURE ABOUT POSITIVITY OF THE POLYNOMIALS
OBTAINED BY THE EXPANDING OF A PRODUCT,
Mathematica Balkanica, New Series Vol. 18, 2004., Fasc. 3-4, 419-430.
(exposed at Minisymposium "Transform Methods and Special Functions"
Part of The Congress is organized by MAthematical
Society of SouthEastern Europe -MASSEE), 2003. Borovets, Bulgaria.
5) P.M. Rajkovic, M.S. Stankovic and S.D. Marinkovic, ON Q-ITERATIVE METHODS FOR EQUATION SOLVING,
Novi Sad Journal of Mathematics, vol 33, No 2, 2003., 127-137.
( Exposed at Conference of Applied Mathematics PRIM 2002, May 2002, Zlatibor, Serbia, Yugoslavia).
6) P.M. Rajkovic, M.S. Stankovic and S.D. Marinkovic,
MEAN VALUE THEOREMS IN Q-CALCULUS,
Matematicki vesnik 54 (2002), Beograd, 171-178
(Proceedings of International Conference "Mathematical Analysis and Applications", October 2002, Nis, Yugoslavia).
Cited by:
A Aral, V Gupta , The q-derivative and applications to q-Szász Mirakyan operators, Calcolo, 2006.
7) P.M. Rajkovic,
ON INTEGRATION OF NEARLY SINGULAR FUNCTIONS BY THE QUADRATURES
OVER THE SEMICIRCLE WITH EQUAL WEIGHTS,
Facta Universitatis, Ser. Mechanics, Automatic Control and Robotics, vol. 3, No 12, 2002., 359-365
(Proc. of V Yugoslav Symposium on Nonlinear Mechanics, Nis, Yugoslavia, 2000.)
(Cited by:
1 Adel Mustapha BENSELAMA, MODÉLISATION NUMÉRIQUE DU COMPORTEMENT D’UNE PARTICULE SOUS
CHAMP ÉLECTRIQUE DANS LES MICROSYSTEMES :
DE LA DÉFORMATION AU DÉPLACEMENT,
Mémoire soumis à l’École Doctorale de Mécanique–Énergétique (Spécialité Mécanique des Fluides et Transferts) Université Joseph Fourier,
Grenoble I en vue de l’obtention du diplôme de :
Docteur de l’Université Joseph Fourier 2005 )
8) P.M. Rajkovic and S. Marinkovic, ON Q-EXTENSIONS OF GENERALIZED HERMITE POLYNOMIALS,
FILOMAT, vol. 15, 2001, Nis, Yugoslavia. 277-283.
9) G.V. Milovanovic, P.M. Rajkovic, Z.M. Marjanovic,
ZERO DISTRIBUTION OF POLYNOMIALS ORTHOGONAL ON
THE RADIAL RAYS IN THE COMPLEX PLANE, Facta Universitatis (Nis), Ser. Mathem. Inform. 12 (1997), 127-142.
10) G.V. Milovanovic, P.M. Rajkovic, Z.M. Marjanovic,
A CLASS OF ORTHOGONAL POLYNOMIALS
ON THE RADIAL RAYS IN THE COMPLEX PLANE (II part),
Facta Univ., Ser. Math. Inform., Nis, vol. 11, 1996, 29-47
11) G.V. Milovanovic, P.M. Rajkovic, Z.M. Marjanovic, ON PROPERTIES OF SOME NONCLASSICAL ORTHOGONAL POLYNOMIALS, FILOMAT, vol. 9, 101—111, Nis, 1995.
12) G.V.Milovanovic and P.M. Rajkovic, COMPLEX ORTHOGONAL POLYNOMIALS WITH THE HERMITE WEIGHT,
Publ. Elektrotehn. Fak. Ser. Mathem., Beograd, 1995., vol. 6, 63-73.
C) Papers published in the proceedings of international conferences
1) S. D. Marinković, P. M. Rajković, M. Stanković: The linear q-differential equation and q-holonomic functions
Proceedings of XVII Conference on Applied Mathematics, Novi Sad, Serbia, 2007, 13-20.
( PRIM 2006, UNIVERSITY OF NOVI SAD, FACULTY OF SCIENCE AND MATHEMATICS
DEPARTMENT OF MATHEMATICS AND INFORMATICSKragujevac, Serbia, September 25-27, 2006)
2) M. D. Petković, P. M. Rajković: The Hankel transform of shifted Narayana polynomials
Proceedings of XVII Conference on Applied Mathematics, Novi Sad, Serbia, 2007, 79-84.
( PRIM 2006, UNIVERSITY OF NOVI SAD, FACULTY OF SCIENCE AND MATHEMATICS
DEPARTMENT OF MATHEMATICS AND INFORMATICS, Kragujevac, Serbia, September 25-27, 2006)
3) M.S. Stankovic, P.M. Rajkovic , S.D. Marinkovic ON q-ANALOGS OF MITTAG–Leffler Function,
Proceedings of the IX International SAUM Conference on Systems, Automatic Control and Measurements, Nis,
Serbia, November, 2007, 99-102.
4) M. Ivkovic, I.Djordjevic, P.M. Rajkovic , B. Vasic,
MODELING ERRORS IN LONG-HAUL OPTICAL FIBER TRANSMISSION SYSTEMS BY USING INSTANTIONS AND EDGEWORTH EXPANSION,
Proceedings of ICC 2006 Optical Networks and Systems Symposium.
5) P.M. Rajkovic , S.D. Marinkovic and M.S. Stankovic,
FINDING THE ZEROS OF THE FUNCTIONS TREATED BY q--CALCULUS,
Proceedings of The Sixth International Conference on Geometry, Integrability and Quantization,
Sofia (2005) 284--296.. (Conference held in Varna, Bulgaria (ed. I.M. Mladenov, A.C. Hirsshfeld , June, 2004.)
6) P.M. Rajkovic , S.D. Marinkovic and M.S. Stankovic,
ON q-NEWTON-KANTOROVICH METHOD FOR SOLVING SYSTEMS OF EQUATIONS,
30. INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMY,
Sozopol, Bulgaria, June, 7-12 , 2004.
7) Milivojevic, Z., Mirkovic, M., Rajkovic, P., Milosevic, B.,
Representation of speech signal by algorithm with signature functions,
ETRAN, Section: Elektricna kola i sistemi i procesiranje signala, Sednica: Algoritmi i modelovanje, Rad EK 3.5, str. 163-166, Budva, 2005
8) Z. Milivojevic, M. Mirkovic, P. Rajkovic,
Estimating of the fundamental frequency by the using of the parametric cubic convolution interpolaton,
International Scientific Conference UNITECH '04, Session: Electronics and Communication Engineering, pp. 138-141, Gabrovo, Bulgaria, 2004.
9) M. Mirkovic, Z. Milivojevic, P. Rajkovic,
Performanse sistema sa implementiranim PCC algoritmom za procenu fundamentalne frekvencije,
TELFOR'04, Sekcija: Obrada signala, Beograd, 2004.
10) P.M. Rajkovic, M.S. Stankovic and S.D. Marinkovic:
INVERSE Z-TRANSFORM AND ITS NUMERICAL COMPUTING,
Computational Intelligence and Information Technologies,
(Proceedings of Fourth Workshop), Nis and Dortmund, 2003, 9-12.
11) M.S. Stankovic, S.D. Marinkovic and P.M. Rajkovic,
“THE GENERALIZATION OF THE LEGENDRE POLYNOMIALS OBTAINED BY LAPLACE TRANSFORM”
Proceedings of 29th International Summer School "Application of Mathematics in Engineering and Economics",
Sozopol, Bulgaria, 2003, 34-40.
12) P.M. Rajkovic, M.S. Stankovic and S.D. Marinkovic,
THE ZEROS OF POLYNOMIALS ORTHOGONAL WITH RESPECT TO q-INTEGRAL ON SEVERAL INTERVALS IN THE COMPLEX PLANE, The Fifth International Conference on Geometry, Integrability and Quantization, 2003, Varna, Bulgaria (ed. I.M. Mladenov, A.C. Hirsshfeld ), 178-188.
13) M.S. Stankovic, P.M. Rajkovic and S.D. Marinkovic,
SOLVING EQUATION BY Q-ITERATIVE METHODS AND Q-SENDOV CONJECTURE,
"Constructive Theory of Functions", (Special issue: Proceedings of Conference, Varna 2002,
(B. Bojanov, Ed.), DARBA, Sofia, Bulgaria, 2003., pp. 412-418.
14) Ljiljana D. Petkovic & Predrag M. Rajkovic,
BUGS OF THE SOFTWEAR FOR
THE NUMERICAL AND SYMBOLIC EVALUATING
Proceedings of Conference YUINFO2002, Kopaonik, Yugoslavia
15) P.M. Rajkovic,
THE RECONSTRUCTION OF THE WEIGHT FUNCTION FOR THREE-TERM RECURRENCE POLYNOMIAL SEQUENCE WITH ZEROS IN THE INTERVAL (-1,1),
Proceedings of the 10th Congress of Yugoslav Mathematicians, Belgrade, Yugoslavia, 2001, pp. 107-110.
16) R. Pavlovic, P. Kozic and P.M. Rajkovic, INFLUENCE OF RANDOMLY VARYING DAMPING COEFFICIENT ON THE DYNAMIC STABILITY CONTINUOUS SYSTEMS, Proceedings of XXI Yugoslav Congress of theoretical and applied Mechanics, 1995, Nis
17) G.V. Milovanovic and P.M. Rajkovic,
GAUSS-LEGENDRE'S QUADRATURES ON A CIRCULAR ARC,
Proceedings of Faculty of Mechanical Engineering, Nis, 1990,1--6
18) G.V. Milovanovic and P.M. Rajkovic,
CONSIDERATIONS ABOUT COMPLEX ORTHOGONAL POLYNOMIALS, Proceedings of VII Seminar of Applied Mathematics, Osijek, Yugoslavia, 1989.
D) Papers published in the abstract-book of international conferences
1) Predrag M. Rajkovic, Marko D. Petkovic,
On q-Calculus, Partitions and Tiling,
Workshop "New Multimedia Technology in Mathematics and Computer Science Education",
Belgrade, September 21-23, 2006.
2) Marko D. Petkovic, Predrag M. Rajkovic,
Visual considerations of q-polynomials, q-Bezier objects and famous conjectures,
DAAD Spring School in Computer Graphics,
"New Multimedia Technology in Mathematics and Computer Science Education", Berlin, April, 2006.
3) Predrag M. Rajkovic, Marko D. Petkovic,
Visual introduction to q-calculus,
Workshop "New Multimedia Technology in Mathematics and Computer Science Education",
Belgrade, November, 2005.
4) P.M. Rajkovic, M.S. Stankovic and S.D. Marinkovic,
ON q-CALCULUS,NEWTON'S DIVIDED DIFFERENCES AND MEAN VALUE THEOREMS
Mini-symposium "Optimization, Approximation, and Multiscale Analysis with Applications to Signal and Image Processing", accompanying the Congress of MASSEE, Borovets, Bulgaria, 2003.
5) G.V. Milovanovic, P.M. Rajkovic, Z.M. Marjanovic,
MULTIPLE ORTHOGONAL POLYNOMIALS ON THE RADIAL RAYS,
XIV Seminar of Applied Math., Novi Sad, Yugoslavia, 2000.
6) M.Miljkovic, T. Pecev and P.M. Rajkovic,
SPECTROPHOMETRIC DETERMINATION OF PROCION COLOURS
CONCETRACION REQUIRED FOR THE APROPPRIATE COLOURING OF CELLULOSE TEXTYLE,
Proceedings of Chemistry Conference, Sarajevo, Yugoslavia, 1991.
7) P.M. Rajkovic and M.S. Stankovic,
COMPUTING AND VISUALIZATION OF FRACTIONAL TRANSFORMS
BY Mathematica, "Vive Math"-Workshop on Visualization
and Verbalization of Mathematics and Interdisciplinary Aspects, Faculty of Science and Mathematics,
December 2001, Nis, Yugoslavia.
8) M. Vidanovic, M.S. Stankovic, P.M. Rajkovic,
TRIGONOMETRIC INTEGRAL TRANSFORMS AND SUMMATION OF SOME SERIES
IN TERMS OF RIEMANN ZETA FUNCTION,
Wavelets and Integral Transforms, April 2002, Novi Sad, Serbia, Yugoslavia.
E) Papers published in the abstract-book of national conferences
1) Predrag M. Rajkovic,
Infinite products,
Republic seminar "Eduaction in mathematics and computer sciences",
Nis, January 11-12, 2008.
MONOGRAPHS AND BOOKS
1) P.M. Rajkovic, M.S. Stankovic and S.D. Marinkovic,
AN INTRODUCTION INTO Q-CALCULUS, Faculty of Mechanical Engineering, Nis, 2008.
2) Lj. Petkovic, S.Trickovic and P.M. Rajkovic,
A COLLECTION OF TASKS IN NUMERICAL ANALYSIS, Faculty of Mechanical Engineering, Nis, 1997.