Zobrazeno 1 - 10
of 443
pro vyhledávání: '"Waseem A. Khan"'
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 30, Iss 1, Pp 362-375 (2022)
In this paper, we introduce partially degenerate Laguerre–Bernoulli polynomials of the first kind and deduce some relevant properties by using a preliminary study of these polynomials. We derive some theorems on implicit summation formulae for part
Externí odkaz:
https://doaj.org/article/1f7a7a99eea64ec1b91a394244efa70e
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022)
In this paper, we introduce a new class of truncated Hermite-Euler polynomials and numbers as a generalization of Hermite-Euler polynomials. Furthermore, the discussion is on properties and relations with the hypergeometric Bernoulli polynomials, Fro
Externí odkaz:
https://doaj.org/article/82d391e92ea54737991b88fa550b63b5
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)
Abstract Recently, Kim et al. (Adv. Differ. Equ. 2020:168, 2020) considered the poly-Bernoulli numbers and polynomials resulting from the moderated version of degenerate polyexponential functions. In this paper, we investigate the degenerate type 2 p
Externí odkaz:
https://doaj.org/article/3627472a061644b0b752cb3da965ec43
Autor:
Waseem A. Khan, Abdulghani Muhyi, Rifaqat Ali, Khaled Ahmad Hassan Alzobydi, Manoj Singh, Praveen Agarwal
Publikováno v:
AIMS Mathematics, Vol 6, Iss 11, Pp 12680-12697 (2021)
The main object of this article is to present type 2 degenerate poly-Bernoulli polynomials of the second kind and numbers by arising from modified degenerate polyexponential function and investigate some properties of them. Thereafter, we treat the t
Externí odkaz:
https://doaj.org/article/f41ccabcdbb448a8bdec5232af1f8ec1
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-11 (2020)
Abstract Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind. Motivated by their work, we introduce degenerate version of the central Fu
Externí odkaz:
https://doaj.org/article/3ff2a877da3d4e3b8bed4169f3816854
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020)
Abstract Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2
Externí odkaz:
https://doaj.org/article/828c98c54ea242f48ec30b88897bc649
Autor:
Nabiullah Khan, Mohd Ghayasuddin, Waseem A. Khan, Thabet Abdeljawad, Kottakkaran Sooppy Nisar
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-13 (2020)
Abstract In this paper, by using the confluent hypergeometric function of the first kind, we propose a further extension of the Voigt function and obtain its useful properties as (for example) explicit representation and partly bilateral and partly u
Externí odkaz:
https://doaj.org/article/3883351aa7764ceb9148d141a78fd6a2
Autor:
Waseem A. Khan
Publikováno v:
Journal of Mathematics, Vol 2022 (2022)
Recently, Yuankui et al. (Filomat J. 35 (5):17, 2022) studied q-analogues of Catalan-Daehee numbers and polynomials by making use of p-adic q-integrals on ℤp. Motivated by this study, we consider q-analogues of degenerate Catalan-Daehee numbers and
Externí odkaz:
https://doaj.org/article/6d32c6fa39cd4c1f9ccf37d540faa731
Publikováno v:
Journal of Function Spaces, Vol 2021 (2021)
In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly-Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these polyno
Externí odkaz:
https://doaj.org/article/479d3105839045d18cd1df30619b48ee
Autor:
Waseem A. Khan
Publikováno v:
Symmetry, Vol 14, Iss 6, p 1119 (2022)
In this paper, we introduce q-analogues of degenerate Catalan numbers and polynomials with the help of a fermionic p-adic q-integrals on Zp and establish some new connections with the degenerate Stirling numbers of the first and second kinds. Further
Externí odkaz:
https://doaj.org/article/10519507e97242b98e5824372d0002e8