Results 11 to 20 of about 1,095,426 (168)

On generalized $\mathtt{k}$-fractional derivative operator

AIMS Mathematics, 2020
The principal aim of this paper is to introduce $\mathtt{k}$-fractional derivative operator by using the definition of $\mathtt{k}$-beta function. This paper establishes some results related to the newly defined fractional operator such as the Mellin ...
Gauhar Rahman, Shahid Mubeen, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Infinite Series Concerning Tails of Riemann Zeta Values

Axioms, 2023
Infinite series involving Riemann’s zeta and Dirichlet’s lambda tails, and weighted by three harmonic-like elementary symmetric functions are examined.
Chunli Li, Wenchang Chu
doaj   +1 more source

Some results on generalized Euler-type integrals related to the four parameters Mittag-Leffler function

Journal of New Results in Science, 2021
Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler functions are obtained as a solution to complex differential equations in engineering, science and technology.
Umar Muhammad Abubakar
doaj   +1 more source

Probabilistic Machine Learning Using Bayesian Inference

Undergraduate 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

Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family

Fractal 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

Some identities on truncated polynomials associated with Lah-Bell polynomials

Applied 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, Yuankui Ma, Taekyun Kim, Wencong Liu   +3 more
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New fractional integral inequalities via Euler's beta function

Open 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

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

Axioms, 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

Stochastic Multi-Objective Optimized Dispatch of Combined Cooling, Heating, and Power Microgrids Based on Hybrid Evolutionary Optimization Algorithm

IEEE Access, 2019
The penetration of distributed power sources has been increasing with the continuous promotion of clean renewable energy sources. This paper seeks to improve the utilization rate of clean energy and reduce the cost of microgrid operation by first ...
Bifei Tan, Haoyong Chen
doaj   +1 more source