Add to ORKGUsing the theory of generalized functions, the asymptotic expansion of a class of series of number theoretical importance is derived. The development of the corresponding Lambert type series as well as other multidimensional series expansions are obtained. The notion of a distributionally small sequence is introduced and its relation with summability ideas is studied. Several illustrations are given. © 1992, Taylor & Francis Group, LLC. All rights reserved
Divergent series of Dirac delta functions have been used in the solution of ordinary and functional ...
AbstractDivergent series of Dirac delta functions have been used in the solution of ordinary and fun...
We obtain complete asymptotic expansions for certain ^-hypergeometric series, including those pertai...
AbstractWe apply regularization of divergent integrals in the derivation of the asymptotic expansion...
Herein, we present a sequel to earlier work on a generalization of the Lambert W function. In partic...
We apply regularization of divergent integrals in the derivation of the asymptotic expansion of cert...
We define a type of generalized asymptotic series called v-asymptotic. We show that every func tion ...
AbstractWe define a type of generalized asymptotic series called v-asymptotic. We show that every fu...
An asymptotic series in Ramanujan’s second notebook (Entry 10, Chap. 3) is concerned with ...
The asymptotic analysis has obtained new impulses with the general development of various branches o...
ABSTRACT. In [1] E. L. Reiss obtained a multivariable expansion of the problem L[y] y " + 2y ’ ...
AbstractWe unify several asymptotic expansions for the gamma function due to Laplace, Ramanujan–Kara...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
International audienceWe give a short survey of old and new results in the theory of Ramanujan expan...
Providing a broad toolkit of analytical methods, this book shows how asymptotics, when coupled with ...
Divergent series of Dirac delta functions have been used in the solution of ordinary and functional ...
AbstractDivergent series of Dirac delta functions have been used in the solution of ordinary and fun...
We obtain complete asymptotic expansions for certain ^-hypergeometric series, including those pertai...
AbstractWe apply regularization of divergent integrals in the derivation of the asymptotic expansion...
Herein, we present a sequel to earlier work on a generalization of the Lambert W function. In partic...
We apply regularization of divergent integrals in the derivation of the asymptotic expansion of cert...
We define a type of generalized asymptotic series called v-asymptotic. We show that every func tion ...
AbstractWe define a type of generalized asymptotic series called v-asymptotic. We show that every fu...
An asymptotic series in Ramanujan’s second notebook (Entry 10, Chap. 3) is concerned with ...
The asymptotic analysis has obtained new impulses with the general development of various branches o...
ABSTRACT. In [1] E. L. Reiss obtained a multivariable expansion of the problem L[y] y " + 2y ’ ...
AbstractWe unify several asymptotic expansions for the gamma function due to Laplace, Ramanujan–Kara...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
International audienceWe give a short survey of old and new results in the theory of Ramanujan expan...
Providing a broad toolkit of analytical methods, this book shows how asymptotics, when coupled with ...
Divergent series of Dirac delta functions have been used in the solution of ordinary and functional ...
AbstractDivergent series of Dirac delta functions have been used in the solution of ordinary and fun...
We obtain complete asymptotic expansions for certain ^-hypergeometric series, including those pertai...