Solution of Several Functional Equations on Nonunital Semigroups Using Wilson’s Functional Equations with Involution
Joint Authors
Sahoo, Prasanna Kumar
Chung, Jae-Young
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Let S be a nonunital commutative semigroup, σ : S → S an involution, and C the set of complex numbers.
In this paper, first we determine the general solutions f , g : S → C of Wilson’s generalizations of d’Alembert’s functional equations f x + y + f x + σ y = 2 f ( x ) g ( y ) and f x + y + f x + σ y = 2 g ( x ) f ( y ) on nonunital commutative semigroups, and then using the solutions of these equations we solve a number of other functional equations on more general domains.
American Psychological Association (APA)
Chung, Jae-Young& Sahoo, Prasanna Kumar. 2014. Solution of Several Functional Equations on Nonunital Semigroups Using Wilson’s Functional Equations with Involution. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013976
Modern Language Association (MLA)
Chung, Jae-Young& Sahoo, Prasanna Kumar. Solution of Several Functional Equations on Nonunital Semigroups Using Wilson’s Functional Equations with Involution. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1013976
American Medical Association (AMA)
Chung, Jae-Young& Sahoo, Prasanna Kumar. Solution of Several Functional Equations on Nonunital Semigroups Using Wilson’s Functional Equations with Involution. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013976
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013976