Results 11 to 20 of about 2,291,183 (283)

Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function

open access: yesJournal of New Theory, 2022
The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties ...
Umar Muhammad Abubakar
doaj   +1 more source

Some identities on truncated polynomials associated with Lah-Bell polynomials

open access: yesApplied Mathematics in Science and Engineering, 2023
Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we also introduce
Lingling Luo   +3 more
doaj   +1 more source

Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family

open access: yesFractal and Fractional, 2022
The main goal of this article is to explore a new type of polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix polynomials, through operational techniques.
Tabinda Nahid, Junesang Choi
doaj   +1 more source

Probabilistic Machine Learning Using Bayesian Inference

open access: yesUndergraduate Journal of Mathematical Modeling: One + Two, 2020
Machine Learning is a branch of AI (Artificial Intelligence) which expands on the idea of a computational system extending its knowledge about set methodical behaviors from the data that is fed to it to essentially develop analytical skills that can help
Mayank Pandey
doaj   +1 more source

VECTOR BETA FUNCTION [PDF]

open access: yesInternational Journal of Modern Physics A, 2013
We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta functions, Higgs-like relation among anomalous dimensions and a gradient property.
openaire   +3 more sources

New fractional integral inequalities via Euler's beta function

open access: yesOpen Mathematics, 2023
In this article, we present new fractional integral inequalities via Euler’s beta function in terms of ss-convex mappings. We develop some new generalizations of fractional trapezoid- and midpoint-type inequalities using the class of differentiable ss ...
Almutairi Ohud Bulayhan
doaj   +1 more source

The Logarithmic Transform of a Polynomial Function Expressed in Terms of the Lerch Function

open access: yesMathematics, 2021
This is a collection of definite integrals involving the logarithmic and polynomial functions in terms of special functions and fundamental constants. All the results in this work are new.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

A More Accurate Half-Discrete Multidimensional Hilbert-Type Inequality Involving One Multiple Upper Limit Function

open access: yesAxioms, 2023
By means of the weight functions, the idea of introduced parameters, using the transfer formula and Hermite–Hadamard’s inequality, a more accurate half-discrete multidimensional Hilbert-type inequality with the homogeneous kernel as 1(x+||k−ξ||α)λ(x,λ>0)
Yong Hong, Yanru Zhong, Bicheng Yang
doaj   +1 more source

Conformal Phase Diagram of Complete Asymptotically Free Theories [PDF]

open access: yes, 2016
We investigate the ultraviolet and infrared fixed point structure of gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and scalar self coupling.
Pica, Claudio   +2 more
core   +2 more sources

Recurrent identities for two special functions of hypergeometric type

open access: yesВестник 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
doaj   +1 more source

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