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Séries hypergéométriques multiples et polyzêtas

J. Cresson, S. Fischler, T. Rivoal (2008)

Bulletin de la Société Mathématique de France

Nous décrivons un algorithme théorique et effectif permettant de démontrer que des séries et intégrales hypergéométriques multiples relativement générales se décomposent en combinaisons linéaires à coefficients rationnels de polyzêtas.

Software for the algorithmic work with orthogonal polynomials and special functions.

Koepf, Wolfram (1999)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Some applications of differential subordination to a general class of multivalently analytic functions involving a convolution structure.

Prajapat, J.K., Raina, R.K. (2009)

Bulletin of Mathematical Analysis and Applications [electronic only]

Some applications of Saalschütz's theorem

L. Carlitz (1970)

Rendiconti del Seminario Matematico della Università di Padova

Some extensions of Bateman's product formulas for the Jacobi polynomials.

Chen, Ming-Po, Srivastava, H.M. (1995)

Journal of Applied Mathematics and Stochastic Analysis

Some Fourier series for generalized hypergeometric polynomials

Shah, Manilal (1969)

Portugaliae mathematica

Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem.

Qureshi, M.I., Sadiq Khan, M., Pathan, M.A. (2005)

International Journal of Mathematics and Mathematical Sciences

Some problems and solutions involving Mathieu's series and its generalizations.

Srivastava, H.M., Tomovski, Živorad (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some results for generalised hypergeometric functions

Olkha, G.S., Rathie, P.N. (1970)

Portugaliae mathematica

Some results on a generalized $ω$ -Jacobi transform.

Ben Nakhi, Y., Kalla, S.L. (2004)

International Journal of Mathematics and Mathematical Sciences

Some summation formulae over the set of partitions.

Chu, W.C., Raina, R.K. (1992)

Acta Mathematica Universitatis Comenianae. New Series

Sufficiency for Gaussian hypergeometric functions to be uniformly convex.

Kim, Yong Chan, Ponnusamy, S. (1999)

International Journal of Mathematics and Mathematical Sciences

Symmetric inclusion-exclusion.

Gessel, Ira M. (2005)

Séminaire Lotharingien de Combinatoire [electronic only]

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