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أ. د. المنجي أحمد سالم بلال

Professor

أستاذ

كلية العلوم
2أ 148 مبنى 4
المنشورات
مقال فى مجلة
2013

Pollaczek polynomials and hypergeometric representation

Ameur, Mongi Blel and Jamel Ben . 2013

This paper gives a solution, without the use of the three-term recurrence
relation, of the problem posed in Ismail (Classical and Quantum Orthogonal Poly-
nomials in One Variable, Cambridge University Press, Cambridge, 2005) (Problem
24.8.2, p. 658): that the hypergeometric representation of the general Pollaczek poly-
nomials is a polynomial in cos(θ ) of degree n. Chu solved in (Ramanujan J. 13(1–3):
221–225, 2007) the problem in a particular case. We use elementary properties
of functions of complex variables and Pfaff’s transformation on hypergeometric
2 F1 -series.

 

نوع عمل المنشور
theoric
رقم المجلد
30
مجلة/صحيفة
Ramanujan Journal
الصفحات
399–402
مزيد من المنشورات
publications

Lamiri and M.Ouni state some characterization theorems for d-orthogonal polynomials
of Hermite, Gould-Hopper and Charlier type polynomials. In [3] Y.Ben Cheikh I. Lamiri and M.Ouni

بواسطة Mongi Blel
2023
publications

We study the uniqueness, the continuity in $L^2$ and the large
time decay for the Leray solutions of the $3D$ incompressible
Navier-Stokes equations with the nonlinear exponential…

بواسطة Mongi BLEL and Jamel Benameur
2023
تم النشر فى:
De Gruyter Open Access