Enumeration formulas for generalized q-Euler numbers
نویسندگان
چکیده
منابع مشابه
Combinatorics of generalized q-Euler numbers
New enumerating functions for the Euler numbers are considered. Several of the relevant generating functions appear in connection to entries in Ramanujan’s Lost Notebook. The results presented here are, in part, a response to a conjecture made by M. E. H. Ismail and C. Zhang about the symmetry of polynomials in Ramanujan’s expansion for a generalization of the Rogers-Ramanujan series. Related g...
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Counting the number of elements in finite sets Si (where i typically ranges over some index set I such as the non–negative integers or a cartesian product of the non–negative integers) is surely one of the oldest and most fundamental problems in mathematics. It is in the nature of the subject that only a few enumeration problems have a compact solution in terms of a simple explicit formula in i...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2012
ISSN: 0196-8858
DOI: 10.1016/j.aam.2012.07.001