Transformations for some triple hypergeometric functions obtained by using n-fractional integral representations

Joint Authors

Bin-Sad, Majid G.
al-Qashbari, Adill M.

Source

University of Sharjah Journal of Pure and Applied Sciences

Issue

Vol. 5, Issue 1 (28 Feb. 2008), pp.1-22, 22 p.

Publisher

University of Sharjah

Publication Date

2008-02-28

Country of Publication

United Arab Emirates

No. of Pages

22

Main Subjects

Mathematics

Abstract AR

باستخدام طريقة نشيوموتو للتفاضل و التكامل الكسري تم تكوين تمثيلات لدوال ثلاثية معينة فوق هندسية.

و هذه التمثيلات الكسرية تؤدي دور رئيسي للحصول على صيغ مناقلات و تحويرات لتلك الدوال الثلاثية فوق الهندسية.

العديد من النتائج المعروفة لنشيموتو وايردلي واكستون تظهر كحالات خاصة لنتائجنا.

Abstract EN

Using the method of N-fractional calculus, representations of certain triple hyper geometric functions are established.

These fractional representations play a key role in obtaining transformation and reduction formulae of these triple hyper geometric functions.

Some known results of Nishimoto, Erdélyi and Exton are deduced as special cases of our formulae.

2000 Mathematics Subject Classification.

Primary 33C45, 26A33.

American Psychological Association (APA)

Bin-Sad, Majid G.& al-Qashbari, Adill M.. 2008. Transformations for some triple hypergeometric functions obtained by using n-fractional integral representations. University of Sharjah Journal of Pure and Applied Sciences،Vol. 5, no. 1, pp.1-22.
https://search.emarefa.net/detail/BIM-26380

Modern Language Association (MLA)

Bin-Sad, Majid G.& al-Qashbari, Adill M.. Transformations for some triple hypergeometric functions obtained by using n-fractional integral representations. University of Sharjah Journal of Pure and Applied Sciences Vol. 5, no. 1 (Feb. 2008), pp.1-22.
https://search.emarefa.net/detail/BIM-26380

American Medical Association (AMA)

Bin-Sad, Majid G.& al-Qashbari, Adill M.. Transformations for some triple hypergeometric functions obtained by using n-fractional integral representations. University of Sharjah Journal of Pure and Applied Sciences. 2008. Vol. 5, no. 1, pp.1-22.
https://search.emarefa.net/detail/BIM-26380

Data Type

Journal Articles

Language

English

Notes

11

Record ID

BIM-26380