Results 21 to 30 of about 92 (86)

Refinements of Some Recent Inequalities for Certain Special Functions

Annales Mathematicae Silesianae, 2019
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed, Ighachane Mohamed Amine   +1 more
doaj   +1 more source

Some Completely Monotonic Properties for the (p, g)-Gamma Function [PDF]

, 2012
MSC 2010: 33B15, 26A51 ...
Merovci, Faton, Krasniqi, Valmir
core  

A Novel Form of Multiplicative Gamma Function and Its Analytical Properties

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we introduce and investigate a novel Euler‐style multiplicative gamma function formulated within the framework of multiplicative calculus. This function is defined via a multiplicative integral and serves as a multiplicative analogue of the classical gamma function.
Sajedeh Norozpour, Davron Aslonqulovich Juraev, Mohammed Z. Alqarni, Mohamed Abdalla, José M. Rodríguez   +4 more
wiley   +1 more source

Exploring the Applications of Bicomplex Confluent Hypergeometric Functions in Fractional Calculus and Statistical Distributions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a special version of hypergeometric functions constructed within the bicomplex system, referred to as the bicomplex confluent hypergeometric functions (BCHFs). We highlight important properties, concentrating on their structure with bicomplex numbers, their conditions for convergence, and their differential representation.
Mohra Zayed, Ahmed Bakhet, Shahid Hussain, Aya M. Mourad, Luigi Rarità   +4 more
wiley   +1 more source

Extension of complete monotonicity results involving the digamma function

Moroccan Journal of Pure and Applied Analysis, 2018
By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
doaj   +1 more source

Analytical Investigation of Fractional Nonlinear Systems in Compact‐Open Banach Spaces: Applications in the Chemical Wave Propagation Theory

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag, Khaled M. Saad, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Smritijit Sen   +5 more
wiley   +1 more source

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

An Inequality for the Psi Functions [PDF]

, 2008
For x > 0, let Γ(x) be the Euler's gamma function, and ψ(x) = Γ (x)/Γ(x) the psi function.
Lingli Wu
core  

On the k‐Bicomplex Gamma and k‐Bicomplex Beta Functions and Their Properties

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper intends to extend certain special functions from one complex variable to the bicomplex setting. Specifically, we define the k‐bicomplex Gamma and k‐bicomplex Beta functions. Subsequently, several properties and formulas pertaining to k‐bicomplex Gamma, k‐bicomplex Beta, and k‐shifted factorial are derived. We also explore applications of the
Mohra Zayed, Ahmed Bakhet, Mohamed Fathi, Mohammed A. Saleem, Ming-Sheng Liu   +4 more
wiley   +1 more source

A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper deals with a new sharp version of Simpson’s second inequality by using the concepts of absolute continuity, Grüss inequality, and Chebyshev functionals. To demonstrate the applicability of the main result, three examples are given. Also, as generalization of the main result, a Simpson’s second type inequality related to the class of Riemann ...
Mohsen Rostamian Delavar, Mohammad W. Alomari   +1 more
wiley   +1 more source