Results 1 to 10 of about 6,085 (261)

A functional calculus for a matrix perturbation of ddx

open access: yesJournal of Functional Analysis, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maxim J Goldberg
exaly   +4 more sources

Some Results of R-Matrix Functions and Their Fractional Calculus

open access: yesFractal and Fractional
In this study, we explore various fractional integral properties of R-matrix functions using the Hilfer fractional derivative operator within the framework of fractional calculus.
Mohra Zayed, Ahmed Bakhet
doaj   +3 more sources

Segal–Bargmann Transform, Functional Calculus on Matrix Spaces and the Theory of Semi-circular and Circular Systems

open access: yesJournal of Functional Analysis, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Philippe Biane
exaly   +4 more sources

General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints

open access: yesMathematics, 2021
An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties.
Francesco Aldo Costabile   +2 more
doaj   +2 more sources

Universality property of the S-functional calculus, noncommuting matrix variables and Clifford operators [PDF]

open access: yesAdvances in Mathematics, 2022
The spectral theory on the $S$-spectrum was born out of the need to give quaternionic quantum mechanics (formulated by Birkhoff and von Neumann) a precise mathematical foundation. Then it turned out that this theory has important applications in several fields such as fractional diffusion problems and, moreover, it allows one to define several ...
Colombo F.   +3 more
core   +7 more sources

A non-holomorphic functional calculus and the complex conjugate of a matrix

open access: yesLinear Algebra and Its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olavi Nevanlinna
exaly   +3 more sources

Nonpotentiality of a diffusion system and the construction of a semi-bounded functional [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The wide prevalence and the systematic variational principles are used in mathematics and applications due to a series of remarkable consequences among which the possibility to establish the existence of the solutions of the initial equations ...
V.M. Savchin, L.T. Huyen
doaj   +3 more sources

An Operational Matrix Method Based on the Gegenbauer Polynomials for Solving a Class of Fractional Optimal Control Problems [PDF]

open access: yesInternational Journal of Industrial Electronics, Control and Optimization, 2021
One of the most important classes of fractional calculus is the fractional optimal control problem (FOCP), which arises in engineering. This study presents a direct and efficient numerical method for solving a class of (FOCPs) in which the fractional ...
Farzaneh Soufivand   +2 more
doaj   +1 more source

Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function

open access: yesMathematics, 2022
The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric ...
Rahul Goyal   +3 more
doaj   +1 more source

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

open access: yesOpen Physics, 2022
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi   +4 more
doaj   +1 more source

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