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Then we show how one can obtain, in a simple way, explicit formulas for the generalized Euler polynomials, generalized Euler numbers, generalized Bernoulli polynomials and the
In this note, we consider partitions of n with parts related to k -gonal numbers for some fixed integer k ≥ 3.. Various works have appeared involving partitions into
In this paper, we find an explicit formula for the generating function for the number of partitions of [ n ] with exactly k blocks according to the number of peaks (valleys) in terms
The coin exchange problem derives its name from the obvious interpretation of this problem in terms of exchanging coins of arbitrary denomination with an infinite supply of coins
Conjecture 16 For any generalized derivative D ( x ) on the set of integers there exist two different positive integers which have the same derivative.. Returning to the
A., Some generalized difference sequence spaces defined by a sequence of Orlicz functions , Aust. J., Spaces of strongly summable
and Tripathy, B.C., Strongly almost convergent generalized difference sequences associated with multiplier sequences , Math.Slovaca, 57(4),(2007), 339-348.. and Tripathy, B.K., On a
It thus follows that the ‘Drinfeld polynomial of a regular Bethe state’ corresponds to the standard Drinfeld polynomial defined for the irreducible representation generated by
