A Note on Basic Hypergeometric Function of n-variable

A Note on Basic Hypergeometric Function of n-variable

Mohan Rudravarapu

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Pankaj Srivastava

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1 Motilal Nehru National Institute of Technology

GJSFR Volume 13 Issue F11

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In this paper an attempt has been made to establish new transformation formula for the basic hypergeometric function of n variable.

21 Cites in Articles

References

R Agarwal (1969). Certain basic hypergeometric identities associated with Mock theta functions.
G Andrews,B Berndt (2005). Ramanujan's Lost Notebook.
G Andrews (1974). Applications of basic hypergeometric functions.
George Andrews (1975). Problems and Prospects for Basic Hypergeometric Functions.
R Askey (1980). Some basic hypergeometric extensions of integrals of Selberg and Andrews.
R Askey (1987). Ramanujan and hypergeometric and basic hypergeometric series.
W Bailey (1947). Well poised basic hypergeometric series.
S Bhargava,Chandrashekar Adiga (1984). On some continued fraction identities of Srinivasa Ramanujan.
R Denis (1983). On certain transformations of basic hypergeometric functions.
R Denis,S Singh,D Sulata (2008). Certain Representations of Mock-Theta Functions.
George Gasper (1981). Summation Formulas for Basic Hypergeometric Series.
V Jain (1980). Some expansions involving basic hypergeometric functions of two variables.
V Jain (1980). Some transformations of basic hypergeometric series and their applications.
M Mahadeva Naika,B Dharmendra (2008). On Some new general theorms for the explicit evaluations of Ramanujan's remarkable product of Theta functions.
M Th,S Rassias,Singh (1992). Certain transformations involving basic hypergeometric series.
L Slater (1966). Generalized hypergeometric functions.
Pankaj Srivastava (2002). Certain transformations of generalized Kampe' de' Fe'riet function.
Pankaj Srivastava (2011). Resonance of Continued Fractions Related to<sub>2</sub>ψ<sub>2</sub>Basic Bilateral Hypergeometric Series.
Pankaj Srivastava,Mohan Rudravarapu (2011). Certain Transformation Formulae for the Generalized Hypergeometric Series of Multi Variables.
Arun Verma (1966). Certain expansions of the basic hypergeometric functions.
G Watson (1929). A new proof of the Rogers-Ramanujan identities.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Mohan Rudravarapu. 2014. \u201cA Note on Basic Hypergeometric Function of n-variable\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F11): .

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GJSFR Volume 13 Issue F11
Pg. 133- 138

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

basic hypergeometric function q-series transformation

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Submission ReceivedDecember 5, 2013
RevisedDecember 5, 2013
Peer Review Double Blind
Handling Editor
Accepted December 27, 2013
Published January 8, 2014

Version of record

v1.2

Issue date

March 22, 2014

Language

English

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Article Matrices

Total Score: 102

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Pankaj Srivastava, Mohan Rudravarapu (PhD/Dr. count: 0)

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Publish Date: 2014 03, Sat

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Total Views: 4743

Total Downloads: 2370

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In this paper an attempt has been made to establish new transformation formula for the basic hypergeometric function of n variable.

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