Results 21 to 30 of about 1,781 (102)
A study on q-Appell polynomials from determinantal point of view [PDF]
Applied Mathematics and Computation, 2015 This research is aimed to give a determinantal definition for the $q$-Appell polynomials and show some classical properties as well as find some interesting properties of the mentioned polynomials in the light of the new definition.
Keleshteri, Marzieh Eini +1 more
openaire +2 more sources
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In this paper, a beta operator is used with Caputo Marichev‐Saigo‐Maeda (MSM) fractional differentiation of extended Mittag‐Leffler function in terms of beta function. Further in this paper, some corollaries and consequences are shown that are the special cases of our main findings.
Tayyaba Manzoor +4 more
wiley +1 more source
Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials
Mathematics, 2018 The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
doaj +1 more source
The different tongues of q-calculus; pp. 81–99 [PDF]
Proceedings of the Estonian Academy of Sciences, 2008 In this review paper we summarize the various dialects of q-calculus: quantum calculus, time scales, and partitions. The close connection between Îq(x) functions on the one hand, and elliptic functions and theta functions on the other hand will be shown.
Thomas Ernst
doaj +1 more source
Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 In this paper, the Laplace operator is used with Caputo‐Type Marichev–Saigo–Maeda (MSM) fractional differentiation of the extended Mittag‐Leffler function in terms of the Laplace function. Further in this paper, some corollaries and consequences are shown which are the special cases of our main findings. We apply the Laplace operator on the right‐sided
Adnan Khan +4 more
wiley +1 more source
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 Generating functions plays an essential role in the investigation of several useful properties of the sequences which they generate. In this paper, we establish certain generating relations, involving some quadruple hypergeometric functions introduced by Bin‐Saad and Younis. Some interesting special cases of our main results are also considered.
Jihad Younis +3 more
wiley +1 more source
The Lazard formal group, universal congruences and special values of zeta functions [PDF]
, 2015 A connection between the theory of formal groups and arithmetic number theory is established. In particular, it is shown how to construct general Almkvist--Meurman--type congruences for the universal Bernoulli polynomials that are related with the Lazard
Tempesta, Piergiulio
core +4 more sources
Spectral transformations of the Laurent biorthogonal polynomials. I. q-Appel polynomials
Journal of Computational and Applied Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vinet, Luc, Zhedanov, Alexei
openaire +1 more source
Nonlocal Operational Calculi for Dunkl Operators [PDF]
, 2009 The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied.
Dimovski, Ivan H., Hristov, Valentin Z.
core +5 more sources
Some results on q-Hermite based hybrid polynomials [PDF]
, 2018 In this article, a hybrid class of the q-Hermite based Apostol type Frobenius-Euler polynomials is introduced by means of generating function and series representation. Several important formulas and recurrence relations for these polynomials are derived
Mumtaz Riyasat, Subuhi Khan
core +2 more sources