Results 11 to 20 of about 250,944 (246)
Euler Type Integrals and Integrals in Terms of Extended Beta Function [PDF]
Journal of Mathematics, 2014 We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and ...
Subuhi Khan, Mustafa Walid Al-Saad
doaj +2 more sources
FURTHER EXTENDED GAMMA AND BETA FUNCTIONS IN TERMS OF GENERALIZED WRIGHT FUNCTION
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The main objective of this paper is to introduce a new extension of extended Gamma and Beta functions in terms of generalized Wright function. Various properties of these extended functions are investigated such as integral representations, summation ...
Maisoon Ahmed Hussein Kulib +2 more
doaj +1 more source
Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators
Axioms, 2019 Approximation and some other basic properties of various linear and nonlinear operators are potentially useful in many different areas of researches in the mathematical, physical, and engineering sciences.
Hari Mohan Srivastava +2 more
doaj +3 more sources
Bounds for novel extended beta and hypergeometric functions and related results
Journal of Inequalities and ApplicationsWe introduce a new unified extension of the integral form of Euler’s beta function with a MacDonald function in the integrand and establish functional upper bounds for it.
Rakesh K. Parmar, Tibor K. Pogány
doaj +4 more sources
GENERALIZED EXTENDED BETA FUNCTION
International Journal of Applied Science and Research, 2023 : Special functions are crucial in defining the concept of fractional calculus. Over the years, numerous extensions and generalizations of the special functions were explored by many researchers. This paper presents a generalization of the extended beta function in [1].
S.R. Kabara +5 more
openaire +1 more source
On an extension of extended beta and hypergeometric functions [PDF]
Journal of Classical Analysis, 2017 Motivated mainly by certain interesting recent extensions of the Gamma, Beta and hypergeometric functions, we introduce here new extensions of the Beta function, hypergeometric and confluent hypergeometric functions. We systematically investigate several properties of each of these extended functions, namely their various integral representations ...
Parmar, Rakesh K. +2 more
openaire +2 more sources
New extension of beta, Gauss and confluent hypergeometric functions
Cumhuriyet Science Journal, 2021 There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar +1 more
doaj +1 more source
The Growing Genetic and Functional Diversity of Extended Spectrum Beta-Lactamases [PDF]
BioMed Research International, 2018 Theβ-lactams—a large class of diverse compounds—due to their excellent safety profile and broad antimicrobial spectrum are considered to be the most widely used therapeutic class of antibacterials prescribed in human and veterinary clinical practices. This, unfortunately, has also given rise to a continuous increased resistance globally in health care ...
Sadeeq ur Rahman +5 more
openaire +3 more sources
Inequalities of extended beta and extended hypergeometric functions [PDF]
Journal of Inequalities and Applications, 2017 This paper studies the log-convexity of the extended beta functions. As a consequence, Turán-type inequalities are established.The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions,. The particular cases of those results also gives the Turán-type inequalities
openaire +5 more sources
Some Inequalities of Extended Hypergeometric Functions
Mathematics, 2021 Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain +3 more
doaj +1 more source