Titlebook: Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra; In Honour of Peter P Veronika Pillwein,Carste

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Book 2020he corresponding software packages for concrete problem solving are introduced.?Readers will range from graduate students, researchers to practitioners who are interested in solving concrete problems within mathematics and other research disciplines..

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When the Search for Solutions Can Be Terminated,r these questions in connection with the search for rational solutions of linear homogeneous differential systems with polynomial coefficients. (Some approaches are already known for the case of scalar equations.)

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Context-Free Grammars and Stable Multivariate Polynomials over Stirling Permutations,lems of finding stable multivariate refinements of the polynomials .(.) and .(.). We provide solutions to these two problems by using context-free grammars. Moreover, the grammars enable us to obtain combinatorial interpretations of the multivariate polynomials in terms of Legendre-Stirling permutations and marked Stirling permutations.

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Sequences in Partitions, Double ,-Series and the Mock Theta Function ,, generalizations of the double series considered by them. Two particular infinite families are identified. Beyond the main theorems, applications are made to Rogers-Ramanujan identities and mock theta functions.