On a Proportional Fractional Holomorphic Functions of Two Complex Variables with Respect to Another Function

The aim of this paper is to present a novel work related to a notion of proportional fractional holomorphic function on two complex variables with respect to another function as a structural extension of the classical theory of holomorphic functions on two complex variables. The Stokes and Borel–Pom...

Full description

Saved in:
Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 46; no. 1; pp. 416 - 431
Main Authors González-Cervantes, J. O., Bory-Reyes, J., Schneider, B.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.01.2025
Springer Nature B.V
Subjects
Algebra
Analysis
Analytic functions
Cauchy integral formula
Complex variables
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
quaternionic analysis
fractional holomorphic function theory
2010 Mathematics Subject Classification: 26A33; 30G30; 30G35; 45P05
proportional fractional integrals and derivatives with respect to some functions
Online AccessGet full text

Cover

More Information
Summary:The aim of this paper is to present a novel work related to a notion of proportional fractional holomorphic function on two complex variables with respect to another function as a structural extension of the classical theory of holomorphic functions on two complex variables. The Stokes and Borel–Pompeiu formulas are given as main results and a number of important consequences, including a Cauchy integral formula and a Cauchy theorem for proportional fractional holomorphic functions of two complex variables with respect to another function.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224605198