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Related papers: Mittag-Leffler Functions and Their Applications

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In this paper the Sumudu transforms of Hilfer-Prabhakar fractional derivative and regularized version of Hilfer-Prabhakar fractional derivative are obtained. These results are used to obtain relation between them involving Mittag- Leffler…

Classical Analysis and ODEs · Mathematics 2016-09-22 S. K. Panchal , Amol D. Khandagale , Pravinkumar V. Dole

This study focuses on convex functions and their generalized. Thus, we start this study by giving the definition of convex functions and some of their properties and discussing a simple geometric property. Then we generalize E-convex…

Classical Analysis and ODEs · Mathematics 2017-04-27 Adem Kilicman , Wedad Saleh

A method for computation of the matrix Mittag-Leffler function is presented. The method is based on Jordan canonical form and implemented as a Matlab routine.

Numerical Analysis · Mathematics 2020-07-02 Ivan Matychyn

In this paper a differential equation with noninteger order was used to model an anomalous luminescence decay process. Although this process is in principle an exponential decaying process, recent data indicates that is not the case for…

Statistical Mechanics · Physics 2016-07-05 Nelson H. T. Lemes , José Paulo C. dos Santos , João P. Braga

It is a survey of the main results on abstract characterizations of algebras of $n$-place functions obtained in the last 40 years. A special attention is paid to those algebras of $n$-place functions which are strongly connected with groups…

Rings and Algebras · Mathematics 2012-05-03 Wieslaw A. Dudek , Valentin S. Trokhimenko

This is the first installment in a series of papers devoted to examining certain aspects of the asymptotic value distribution and distribution of zeros manifested by members of a broad class of linear combinations of L-functions in the…

Number Theory · Mathematics 2013-11-20 D. A. Hejhal

This article deals with the ratio of normalized Mittag-Leffler function $\mathbb{E}_{\alpha,\beta}(z)$ and its sequence of partial sums $(\mathbb{E}_{\alpha,\beta})_m(z)$. Several examples which illustrate the validity of our results are…

Complex Variables · Mathematics 2016-06-16 Dorina Raducanu

Inequalities play important roles not only in mathematics, but also in other fields, such as economics and engineering. Even though many results are published on Hermite-Hadamard (H-H) type inequalities, new researcher to this fields often…

Classical Analysis and ODEs · Mathematics 2021-11-23 Ohud Almutairi , Adem Kılıçman

This object of this paper to give several properties and applications of multiple p-adic q-L-function of two variables.

Number Theory · Mathematics 2007-05-23 M. Cenkci , Y. Simsek , V. Kurt

This article discusses some important applications of the quadratic function with the aim of highlighting the importance of cuadr\'aticas.- forms are also intended to show how a simple function covers virtually all areas of knowledge are…

History and Overview · Mathematics 2017-12-07 Campo Elías González Pineda

Multiscale and multiphysics applications are now commonplace, and many researchers focus on combining existing models to construct combined multiscale models. Here we present a concise review of multiscale applications and their source…

Other Computer Science · Computer Science 2013-05-24 Derek Groen , Stefan J. Zasada , Peter V. Coveney

Density functional theory (DFT) has become the most popular approach to electronic structure across disciplines, especially in material and chemical sciences. Last year, at least 30,000 papers used DFT to make useful predictions or give…

Chemical Physics · Physics 2017-01-05 Justin C. Smith , Francisca Sagredo , Kieron Burke

This paper deals with a Euler type integral operator involving k-Mittag-Leffler function defined by Gupta and Parihar [8]. Furthermore, some special cases are also taken into consideration.

Classical Analysis and ODEs · Mathematics 2017-05-01 W. A. Khan , K. S. Nisar , M. Ahmed

Meta-learning empowers learning systems with the ability to acquire knowledge from multiple tasks, enabling faster adaptation and generalization to new tasks. This review provides a comprehensive technical overview of meta-learning,…

Machine Learning · Computer Science 2023-07-11 Anna Vettoruzzo , Mohamed-Rafik Bouguelia , Joaquin Vanschoren , Thorsteinn Rögnvaldsson , KC Santosh

The emergence and continued reliance on the Internet and related technologies has resulted in the generation of large amounts of data that can be made available for analyses. However, humans do not possess the cognitive capabilities to…

Machine Learning · Computer Science 2021-01-12 MohammadNoor Injadat , Abdallah Moubayed , Ali Bou Nassif , Abdallah Shami

Dimensional analysis provides many simple and useful tools for various situations in science. The objective of this paper is to investigate its relations to functions, i.e., the dimensions for functions that yield physical quantities and…

General Physics · Physics 2017-12-05 Shinji Tanimoto

Hypergeometric functions and their generalizations play an important r\^{o}les in diverse applications. Many authors have been established generalizations of hypergeometric functions by a number ways. In this paper, we aim at establishing…

Classical Analysis and ODEs · Mathematics 2017-05-18 Praveen Agarwal , Mohamed Jleli

We introduce a new derivative, the so-called truncated $\mathcal{V}$-fractional derivative for $\alpha$-differentiable functions through the six parameters truncated Mittag-Leffler function, which generalizes different fractional…

Classical Analysis and ODEs · Mathematics 2017-05-23 J. Vanterler da C. Sousa , E. Capelas de Oliveira

Multi-task learning has been widely applied in computational vision, natural language processing and other fields, which has achieved well performance. In recent years, a lot of work about multi-task learning recommender system has been…

Information Retrieval · Computer Science 2023-05-24 Mingzhu Zhang , Ruiping Yin , Zhen Yang , Yipeng Wang , Kan Li

In this paper we introduce new generalizations of the zeta function, the Tricomi functions; their main properties are studied. This opens the way to a deeper, better application of these functions both in the theory of special functions,…

Classical Analysis and ODEs · Mathematics 2018-01-01 N. Virchenko , A. Ponomarenko
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