Results 71 to 80 of about 5,801,198 (158)

On a generalization of Mittag-Leffler function and its properties

Journal of Mathematical Analysis and Applications, 2007
It is introduced a generalization of the classical Mittag-Leffler function, namely \[ E_{\alpha,\beta}^{\gamma, q}(z) = \sum\limits_{n=0}^{\infty} \frac{\Gamma(\gamma + q n)}{\Gamma(q) \Gamma(\alpha n +\beta)} \frac{z^n}{n!}.\tag{1} \] Algebraic relations, as well as differentiation formulas are determined.
Shukla, A.K., Prajapati, J.C.
openaire   +1 more source

Isotopies of complete minimal surfaces of finite total curvature

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón, Franc Forstnerič, Finnur Lárusson   +2 more
wiley   +1 more source

Exploring Fractional $q$-Kinetic Equations via Generalized $q$-Mittag-Leffler Type Functions: Applications and Analysis [PDF]

Sahand Communications in Mathematical Analysis
In this study, the $q$-calculus is employed to introduce a novel generalization of the Mittag-Leffler function. In the following, we investigate a novel $q$-exponential function with five parameters, resulting in the generalized $q$-Mittag-Leffler ...
Mulugeta Dawud Ali, Dayalal Suthar, Sunil Purohit   +2 more
doaj   +1 more source

Quantitative asymptotics for polynomial patterns in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen, Joni Teräväinen, Mengdi Wang   +2 more
wiley   +1 more source

Numerical Results for the Generalized Mittag-Leffler Function [PDF]

, 2005
Mathematics Subject Classification: 33E12, 33FXX PACS (Physics Abstracts Classification Scheme): 02.30.Gp, 02.60.GfResults of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10
Hilfer, R., Seybold, H. J.
core   +1 more source

A study of generalized Mittag-Leffler-type function of arbitrary order

Demonstratio Mathematica
We present a novel generalized Mittag-Leffler-type function of arbitrary order in this study. We look into its fundamental characteristics, such as differential formulas, recurrence relations, integral representations, the Euler, Laplace, Mellin ...
Bin-Saad Maged, Younis Jihad
doaj   +1 more source

Weighted Deformed Gram Matrices for Quantum‐Inspired Learning With Applications to Biomedical Signal Analysis

Engineering Reports, Volume 8, Issue 6, June 2026.
Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim, Dumitru Baleanu, Soheil Salahshour   +2 more
wiley   +1 more source

FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION [PDF]

, 2020
The aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with general arguments. This integral yields a number of known results as special cases.
P. K. Banerji, F. Y. Ayant, D. Kumar, A. Singh   +3 more
core   +1 more source

Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform

MANAS: Journal of Engineering
The generalized pathway fractional integral formulas for the newly extended multiindex Mittag-Leffler function defined by using two Fox-Wright functions as its kernel is studied.
Enes Ata, Muhammad Kaurangini, Umar Muhammad Abubakar   +2 more
doaj   +1 more source

Generalized Fractional Integrals Involving Product of a Generalized Mittag–Leffler Function and Two H-Functions

, 2022
The objective of this research is to obtain some fractional integral formulas concerning products of the generalized Mittag–Leffler function and two H-functions.
Prakash Singh, Praveen Agarwal, Shilpi Jain   +2 more
core   +1 more source