A NEW EXTENSIONS OF GEGENBAUER POLYNOMIALS

A NEW EXTENSIONS OF GEGENBAUER POLYNOMIALS

The main aim of this paper is to introduce new extensions of Gegenbauer polynomials of one and two variables by using the extended Gamma function given by Chaudhry and Zubair [3]. Some properties of these extended polynomials such as generating functions, integral representations, and Mellin transfo...

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Veröffentlicht in:Majallat Jāmiʻat ʻAdan al-iliktirūnīyat lil-ʻulūm al-asāsīyah wa-al-ṭabīqīyah 2020-06, Vol.1 (2), p.69-77
Hauptverfasser: Ahmed Ali Atash, Ahmed Ali Al-Gonah
Format: Artikel
Sprache:ara
Schlagworte:
gamma function
extended gegenbauer polynomials
generating functions integral representations
mellin transform
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Zusammenfassung:The main aim of this paper is to introduce new extensions of Gegenbauer polynomials of one and two variables by using the extended Gamma function given by Chaudhry and Zubair [3]. Some properties of these extended polynomials such as generating functions, integral representations, and Mellin transform are deduced
ISSN:2708-0684