Zobrazeno 1 - 10
of 1 173
pro vyhledávání: '"q -calculus"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 12, Pp 33353-33364 (2024)
This research paper addressed a significant knowledge gap in the field of complex analysis by introducing a pioneering category of $ q $-starlike and $ q $-convex functions intricately interconnected with $ (u, v) $-symmetrical functions. Recognizing
Externí odkaz:
https://doaj.org/article/905c17d8523348378b0baf2a075ef8d8
Publikováno v:
AIMS Mathematics, Vol 9, Iss 12, Pp 33442-33466 (2024)
This paper presents an innovative approach to solve $ \mathit{q} $-fractional partial differential equations through a combination of two semi-analytical techniques: The Residual Power Series Method (RPSM) and the Homotopy Analysis Method (HAM). Both
Externí odkaz:
https://doaj.org/article/fe867cd69acb4629aba398aa701ca19b
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 509-516 (2024)
This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials. Furthermore, we deduce the monomiality prin
Externí odkaz:
https://doaj.org/article/e0de27e1757a431da86c028495576aba
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 26799-26824 (2024)
In this research, we leverage various $ q $-calculus identities to introduce the notion of $ q $-Hermite-Appell polynomials involving three variables, elucidating their formalism. We delve into numerous properties and unveil novel findings regarding
Externí odkaz:
https://doaj.org/article/9a9bddeec32a48c38b8374db88350486
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
This article presents new classes of ζ-uniformly q-starlike and q-convex analytic functions of order υ using the principle of q-calculus. The renowned classes of starlike and convex functions are utilized to establish these classes. The investigati
Externí odkaz:
https://doaj.org/article/f11c009290fe4bbaa4630695726ec9b1
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract In this paper, we examine the existence and uniqueness of solutions for a system of the first-order q-difference equations with multi-point and q-integral boundary conditions using various fixed point (fp) theorems. Also, we give two example
Externí odkaz:
https://doaj.org/article/f4e64d7e613e426c9d3f9093c2664f8f
Autor:
K.K. Chaudhary, S.B. Rao
Publikováno v:
Researches in Mathematics, Vol 32, Iss 1, Pp 16-32 (2024)
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explo
Externí odkaz:
https://doaj.org/article/4b9b8853aaa84d39b7cffa4f76f6b8e6
Autor:
K. K. Chaudhary, S. B. Rao
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 48, Iss 1, Pp 80-94 (2024)
In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduce
Externí odkaz:
https://doaj.org/article/6548599817424043935c4018230b666c
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-15 (2024)
Abstract In this paper, we establish a novel category of sequence spaces ℓ p q λ $\ell _{p}^{q_{\lambda}}$ and ℓ ∞ q λ $\ell _{\infty}^{q_{\lambda}}$ by utlizing q-analogue Λ q $\Lambda^{q}$ of Λ-matrix. Our investigation outlines several t
Externí odkaz:
https://doaj.org/article/dfc7ae4db4674bec86a879485e72045e
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17063-17075 (2024)
This study established upper bounds for the second and third coefficients of analytical and bi-univalent functions belonging to a family of particular classes of analytic functions utilizing $ q- $Ultraspherical polynomials under $ q- $Saigo's fracti
Externí odkaz:
https://doaj.org/article/821c837d4b4442db93901040176ba24b