6 citations · 22 across the 25 of their papers we have counts for
6 papers · 1 filter
Restricted -Stirling Numbers and their Combinatorial Applications
Beáta Bényi, Miguel Méndez, José L. Ramírez +1
We study set partitions with distinguished elements and block sizes found in an arbitrary index set . The enumeration of these -partitions leads to the introduction o…
Hyper -ary expansions and Stern polynomials
Tanay Wakhare, Caleb Kendrick, Matthew Chung +8
We study a recently introduced base polynomial analog of Stern's diatomic sequence, which generalizes Stern polynomials of Klavar, Dilcher, Ericksen, Mansour, Stolarsky, and ot…
Structural properties of multiple zeta values
Tanay Wakhare, Christophe Vignat
We study some classical identities for multiple zeta values and show that they still hold for zeta functions built on the zeros of an arbitrary function. We introduce the complemen…
Settling some sum suppositions
Tanay Wakhare, Christophe Vignat
We solve multiple conjectures by Byszewski and Ulas about the sum of base digits function. In order to do this, we develop general results about summations over the sum of digi…
On a generalization of the Rogers generating function
Howard S. Cohl, Roberto S. Costas-Santos, Tanay Wakhare
We derive a generalized Rogers generating function and corresponding definite integral, for the continuous -ultraspherical polynomials by applying its connection relation and ut…
Special values of -gamma products
Tanay Wakhare
We consider products of -gamma functions with rational arguments, and prove several -generalizations of recent works concerning products of gamma functions. In particular, we…