Sum and product theorems depending on the (p, q)-th order and (p, q)-th type of entire functions

On Some Growth Properties of Entire Functions Using Their Maximum Moduli Focusing (p, q)th Relative Order

We discuss some growth rates of composite entire functions on the basis of the definition of relative (p, q)th order (relative (p, q)th lower order) with respect to another entire function which improve some earlier results of Roy (2010) where p and q are any two positive integers.

Computation of the q-th roots of circulant matrices

In this paper, we investigate the reduced form of circulant matrices and we show that the problem of computing the q-th roots of a nonsingular circulant matrix A can be reduced to that of computing the q-th roots of two half size matrices B - C and B + C.

CERN-TH/97-365 hep-th/9712164 D–INSTANTON CORRECTIONS AS (p,q)–STRING EFFECTS AND NON–RENORMALIZATION THEOREMS ⋆

The First and Second Zagreb Indices, First and Second Zagreb Polynomials of HAC5C6C7[p,q] and HAC5C7[p,q] Nanotubes

Topological indices are numerical parameters of a molecular graph G which characterize its topology. On the other hands, computing the connectivity indices of molecular graphs is an important branch in chemical graph theory. Therefore, we compute First Zagreb index Zg   <span style="font-family: TimesNewRomanPS-Italic...

q-Taylor theorems, polynomial expansions, and interpolation of entire functions

We establish q-analogues of Taylor series expansions in special polynomial bases for functions analytic in bounded domains and for entire functions whose maximum modulus Mðr; f Þ satisfies jln Mðr; f ÞjpA ln r: This solves the problem of constructing such entire functions from their values at 1⁄2aq þ q =a =2; for 0oqo1: Our technique is constructive and gives an explicit representation of the s...