Results 1 to 10 of about 17,882 (165)
Sahand Communications in Mathematical Analysis, 2023 In this paper, we introduce a relatively new class, $\mathcal{\mathcal{B}}_{1}^\beta(\alpha)$, namely the class of Beta-Bazilevi\v{c} function is generated by the function Bazilevi\v{c} $\mathcal{B}_{1}(\alpha)$.
Sa'adatul Fitri, Mohamad Muslikh
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Beta function without ultraviolet divergences [PDF]
Journal of High Energy PhysicsIn this paper, we construct the beta function in the functorial formulation of two-dimensional quantum field theories (FQFT). A key feature of this approach is the absence of ultraviolet divergences.
Maxim Gritskov, Andrey Losev
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Beta functions in the quantum field theory [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: The running of the coupling constant in various Quantum Field Theories and a possible behaviour of the beta function are illustrated.
Nicola Fabiano
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Recurrent identities for two special functions of hypergeometric type
Вестник Самарского университета: Естественнонаучная серия, 2023 The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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Applied Sciences, 2022 Dynamic Multi-Objective Optimization Problems (DMOPs) and Many-Objective Optimization Problems (MaOPs) are two classes of the optimization field that have potential applications in engineering.
Ahlem Aboud +5 more
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Estimation of generalized fractional integral operators with nonsingular function as a kernel
AIMS Mathematics, 2021 Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and
Iqra Nayab +6 more
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Certain integral representations involving hypergeometric functions in two variables [PDF]
Mathematica Moravica, 2022 Various integral representations of hypergeometric functions have been introduced and investigated due to their important applications in divers fields.
Younis Jihad +3 more
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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
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Homogeneous Beta-type functions [PDF]
Journal of Classical Analysis, 2017 All beta-type functions, which are p-homogeneous, are determined. Applying this result, we show that a beta-type function is a homogeneous mean iff it is the harmonic one. A reformulation of a result due to Heuvers in terms of a Cauchy difference and the harmonic mean is given.
Himmel, Martin, Matkowski, Janusz
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Some generalised extended incomplete beta functions and applications
Journal of New Results in Science, 2022 This paper introduces generalised incomplete beta functions defined by the generalised beta function. Firstly, we provide some of the generalised beta function's basic properties, such as integral representations, summation formulas, Mellin transform ...
Ayşegül Çetinkaya +3 more
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