On a multivariable extension of the Lagrange-Hermite polynomials

Altin, Abdullah; Erkus, ESRA

doi:10.1080/10652460500432006

On a multivariable extension of the Lagrange-Hermite polynomials

Altin A., Erkus E.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.17, sa.4, ss.239-244, 2006 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 17 Sayı: 4
Basım Tarihi: 2006
Doi Numarası: 10.1080/10652460500432006
Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.239-244
Anahtar Kelimeler: generating functions, Chan-Chyan-Srivastava multivariable polynomials, Pochhammer symbol, Lagrange-Hermite polynomials, Lagrange polynomials, addition formula, (differential) recurrence relation
Gazi Üniversitesi Adresli: Hayır

Özet

The authors introduce a multivariable extension of the familiar Lagrange-Hermite polynomials, which is motivated by the Chan-Chyan-Srivastava multivariable extension of the classical Lagrange polynomials. Then they derive various families of mixed, multilateral, and multilinear generating functions for these polynomials.