论文信息 - On a Conjectured Inequality for a Sum of Legendre Polynomials

On a Conjectured Inequality for a Sum of Legendre Polynomials

∗This work was financially supported by the Austrian Science Foundation (FWF) grant SFB F013 and the Christian Doppler Research Association (CDG). S. Gerhold gratefully acknowledges a fruitful collaboration and continued support by the Austrian Federal Financing Agency and Bank Austria through CDG. M. Kauers was supported by the Austrian Science Foundation FWF under SFB F013 grant number F1305 and under grant number P16613-N12. J. Schöberl was supported by the Austrian Science Foundation FWF under SFB F013 grant number F1306.

Manuel Kauers | Stefan Gerhold | S. Gerhold | Manuel Kauers

[1] Leon M. Hall,et al. Special Functions , 1998 .

[2] George G. Lorentz,et al. Constructive Approximation , 1993, Grundlehren der mathematischen Wissenschaften.

[3] Kurt Wegschaider,et al. Computer Generated Proofs of Binomial Multi-Sum Identities , 1997 .

[4] Manuel Kauers,et al. SumCracker: A package for manipulating symbolic sums and related objects , 2006, J. Symb. Comput..

[5] Christian Mallinger,et al. Algorithmic Manipulations and Transformations of Univariate Holonomic Functions and Sequences , 2001 .

[6] Rene F. Swarttouw,et al. Orthogonal polynomials , 2020, NIST Handbook of Mathematical Functions.

[7] G. Gasper. Positivity and the Convolution Structure for Jacobi Series , 1971 .