Zobrazeno 1 - 10
of 11 695
pro vyhledávání: '"Hypergeometric function"'
On the analytic extension of three ratios of Horn's confluent hypergeometric function $\mathrm{H}_7$
Publikováno v:
Researches in Mathematics, Vol 32, Iss 1, Pp 60-70 (2024)
In this paper, we consider the extension of the analytic functions of two variables by special families of functions — continued fractions. In particular, we establish new symmetric domains of the analytical continuation of three ratios of Horn's c
Externí odkaz:
https://doaj.org/article/8a2761fda5034f5c8b4283680b76e673
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100720- (2024)
In this paper we apply the Riemann–Liouville, Erdelyi–Kober and Caputo fractional operators to modified beta, Gauss hypergeometric and confluent hypergeometric functions in which the generalized M-series are included in their kernels. Furthermore
Externí odkaz:
https://doaj.org/article/cf5252445f42481a8ebaa3c29b831bd1
Publikováno v:
Alexandria Engineering Journal, Vol 104, Iss , Pp 603-613 (2024)
This study aims to investigate the properties of fractional calculus theory (FCT) in the complex domain. We focus on the relationship between the theories of special functions (SFT) and FCT, which have seen recent advancements and have led to various
Externí odkaz:
https://doaj.org/article/585ee682772c465fa357c82cadf218ee
Autor:
Suxia Wang, Tiehong Zhao
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 19677-19691 (2024)
This paper deals with the well-known Becker-Stark inequality. By using variable replacement from the viewpoint of hypergeometric functions, we provide a new and general refinement of Becker-Stark inequality. As a particular case, the double inequalit
Externí odkaz:
https://doaj.org/article/54671cdeeddc47bfac5f17c8cc8570a6
Autor:
Horst Alzer
Publikováno v:
Discrete Mathematics Letters, Vol 13, Pp 1-5 (2024)
Externí odkaz:
https://doaj.org/article/66e958a168c34effab7c9547a0a25382
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 9394-9418 (2024)
The intertwining relationship between sustainability and discrete probability distributions found its significance in decision-making processes and risk assessment frameworks. Count data modeling and its practical applications have gained attention i
Externí odkaz:
https://doaj.org/article/e783e95e4a554ab883a3801dd7e01c14
Autor:
Elumalai Muthaiyan
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 21, Iss 1, Pp 273-289 (2024)
On this study, two new subclasses of the function class $\Xi$ of bi-univalent functions of complex order defined in the open unit disc are introduced and investigated. These subclasses are connected to the Hohlov operator with $(\mathcal {P,Q})-$Luca
Externí odkaz:
https://doaj.org/article/ae0d77b1d705415aadf9b425ca32f352
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 21, Iss 1, Pp 151-171 (2024)
The generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function. The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and Hypergeome
Externí odkaz:
https://doaj.org/article/ee5279e7f12c41d0a787f114a4f37adf
Publikováno v:
AIMS Mathematics, Vol 9, Iss 1, Pp 2022-2031 (2024)
To make a decision to select a suitable approximation for the solution of a functional inequality, we need reliable information. Two useful information ideas are quality and certainty, and the measure of quality and certainty approximation of the sol
Externí odkaz:
https://doaj.org/article/c9988994398347b5b2f2c76db9918178
Autor:
Victor Nawa, Saralees Nadarajah
Publikováno v:
Entropy, Vol 26, Iss 8, p 663 (2024)
The Kullback–Leibler divergence is a measure of the divergence between two probability distributions, often used in statistics and information theory. However, exact expressions for it are not known for multivariate or matrix-variate distributions
Externí odkaz:
https://doaj.org/article/1bd71fe23e30480eb3c85468359942ea