Search Results - "Marinkovic, Sladjana"
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On q-Steffensen inequality
Published in Electronic journal of differential equations (10-05-2018)“…In this article, we study an analogue of the classical integral inequality established by Steffensen in q-calculus. The difficulties ensued form differences…”
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2
Polynomials associated with a functional product of the Hermite type
Published in Mathematical methods in the applied sciences (01-06-2016)“…We have found the motivation for this paper in the research of a quantized closed Friedmann cosmological model. There, the second‐order linear ordinary…”
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3
The inequalities for some types of q -integrals
Published in Computers & mathematics with applications (1987) (01-11-2008)“…Using the restriction of the q -integral over [ a , b ] to a finite sum and q -integral of Riemann-type, we establish new integral inequalities of q -Chebyshev…”
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4
Leibniz rule for the high q$$ q $$‐derivatives of a quotient of two functions
Published in Mathematical methods in the applied sciences (21-10-2024)“…In this paper, we introduce some explicit and recursive formulas for the th ‐derivative of a quotient of two functions. We establish the connections between…”
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5
A class of orthogonal polynomials related to the generalized Laguerre weight with two parameters
Published in Computational & applied mathematics (01-03-2019)“…We investigate a sequence of polynomials orthogonal with respect to the weight function, which appears in the error statistics in high speed optical fiber…”
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6
On a connection between formulas about q-gamma functions
Published in Journal of nonlinear mathematical physics (01-01-2016)“…In this short communication, we want to pay attention to a few wrong formulas which are unfortunately cited and used in a dozen papers afterwards. We prove…”
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7
The deformed exponential functions of two variables in the context of various statistical mechanics
Published in Applied mathematics and computation (15-11-2011)“…In the recent development in various disciplines of physics, it is noted the need for including the deformed versions of the exponential functions. In last two…”
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8
The deformed and modified Mittag-Leffler polynomials
Published in Mathematical and computer modelling (01-07-2011)“…The starting point of this paper are the Mittag-Leffler polynomials investigated in details by Bateman (1940) in [4]. Based on generalized integer powers of…”
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9
Orthogonal Polynomials with Varying Weight of Laguerre Type
Published in Filomat (01-01-2015)“…In this paper, we define and examine a new functional product in the space of real polynomials. This product includes the weight function which depends on…”
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10
Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach
Published in Abstract and Applied Analysis (01-01-2012)“…The one-parameter deformed exponential function was introduced as a frame that enchases a few known functions of this type. Such deformation requires the…”
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11
A generalization of the concept of q-fractional integrals
Published in Acta mathematica Sinica. English series (01-10-2009)“…In this paper, we consider the fractional q -integral with variable lower limit of integration. We prove the semigroup property of these integrals, and a…”
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12
FRACTIONAL INTEGRALS AND DERIVATIVES IN q-CALCULUS
Published in Applicable analysis and discrete mathematics (01-04-2007)“…We generalize the notions of the fractional g-integral and g-derivative by introducing variable lower limit of integration. We discuss some properties and…”
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13
On q-Newton–Kantorovich method for solving systems of equations
Published in Applied mathematics and computation (15-09-2005)“…Starting from q-Taylor formula for the functions of several variables and mean value theorems in q-calculus which we prove by ourselves, we develop a new…”
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14
Properties of q-holonomic functions
Published in Journal of difference equations and applications (01-07-2007)“…In a similar manner as in the papers by W. Koepf, D. Schmersau, Spaces of functions satisfying simple differential equations, Konrad-Zuse-Zentrum Berlin (ZIB),…”
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15
On q-orthogonal polynomials over a collection of complex origin intervals related to little q-Jacobi polynomials
Published in The Ramanujan journal (01-10-2006)Get full text
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16
INEQUALITIES WHICH INCLUDE q-INTEGRALS
Published in Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques (01-01-2006)“…The main problem in analyzing inequalities which include q-integrals is the fact that q-integral of a function over an interval [a, b] (0 < a < b) is defined…”
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17
A Comparison between Different Concepts of Almost Orthogonal Polynomials
Published 21-07-2010“…In this paper, we will discuss the notion of almost orthogonality in a functional sequence.Especially, we will define a few sequences of almost orthogonal…”
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Power series determined by an experiment on the unit interval
Published 08-04-2013“…We consider the linear combinations of elements of two sequences: the first one a priory given nonnegative sequence and the second random sequence from the…”
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Finite and infinite order differential properties of the reduced Mittag--Leffler polynomials
Published 12-02-2024“…This paper deals with the Mittag-Leffler polynomials (MLP) by extracting their essence which consists of real polynomials with fine properties. They are…”
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20
Deformed Mittag-Leffler Polynomials
Published 21-07-2010“…The starting point of this paper are the Mittag-Leffler polynomials introduced by H. Bateman [1]. Based on generalized integer powers of real numbers and…”
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