Linear Independent Solutions and Operational Representations for Hypergeometric Functions of Four Variables
Joint Authors
Hasanov, Anvar
Ibn Sad, Majid G.
Source
Chinese Journal of Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-14
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In investigation of boundary-value problems for certain partial differential equations arising in applied mathematics, we often need to study the solution of system of partial differential equations satisfied by hypergeometric functions and find explicit linearly independent solutions for the system.
Here we choose the Exton function K2 among his 21 functions to show how to find the linearly independent solutions of partial differential equations satisfied by this function K2.
Based upon the classical derivative and integral operators, we introduce a new operational images for hypergeometric function K2.
By means of these operational images, a number of finite series and decomposition formulas are then found.
American Psychological Association (APA)
Ibn Sad, Majid G.& Hasanov, Anvar. 2014. Linear Independent Solutions and Operational Representations for Hypergeometric Functions of Four Variables. Chinese Journal of Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-459345
Modern Language Association (MLA)
Ibn Sad, Majid G.& Hasanov, Anvar. Linear Independent Solutions and Operational Representations for Hypergeometric Functions of Four Variables. Chinese Journal of Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-459345
American Medical Association (AMA)
Ibn Sad, Majid G.& Hasanov, Anvar. Linear Independent Solutions and Operational Representations for Hypergeometric Functions of Four Variables. Chinese Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-459345
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459345