scholarly journals Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 192
Author(s):  
Firas Ghanim ◽  
Khalifa Al-Shaqsi ◽  
Maslina Darus ◽  
Hiba Fawzi Al-Janaby
Keyword(s):  
Operator Theory ◽  
Analytic Functions ◽  
Meromorphic Functions ◽  
Special Function ◽  
Function Theory ◽  
Applied Mathematics ◽  
Analytical Characterization ◽  
Kummer Functions ◽  
Lerch Zeta Function

Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics. The Hurwitz-Lerch Zeta type functions, as a part of Special Function Theory (SPFT), are significant in developing and providing further new studies. In complex domain, the convolution tool is a salutary technique for systematic analytical characterization of geometric functions. The analytic functions in the punctured unit disk are the so-called meromorphic functions. In this present analysis, a new convolution complex operator defined on meromorphic functions related with the Hurwitz-Lerch Zeta type functions and Kummer functions is considered. Certain sufficient stipulations are stated for several formulas of this defining operator to attain subordination. Indeed, these outcomes are an extension of known outcomes of starlikeness, convexity, and close to convexity.

scholarly journals CONFORMAL SLIT MAPS IN APPLIED MATHEMATICS

2012 ◽  
Vol 53 (3) ◽  
pp. 171-189 ◽  
Author(s):  
DARREN CROWDY
Keyword(s):  
Special Function ◽  
Function Theory ◽  
Applied Mathematics ◽  
Building Blocks ◽  
Review Article ◽  
Multiply Connected Domains ◽  
Multiply Connected ◽  
Mathematical Problems ◽  
Explicit Formulae ◽  
Prime Function

AbstractConformal slit maps play a fundamental theoretical role in analytic function theory and potential theory. A lesser-known fact is that they also have a key role to play in applied mathematics. This review article discusses several canonical conformal slit maps for multiply connected domains and gives explicit formulae for them in terms of a classical special function known as the Schottky–Klein prime function associated with a circular preimage domain. It is shown, by a series of examples, that these slit mapping functions can be used as basic building blocks to construct more complicated functions relevant to a variety of applied mathematical problems.

scholarly journals URSCM OR BI-URSCM FOR p-ADIC ANALYTIC OR MEROMORPHIC FUNCTIONS INSIDE A DISK

2007 ◽  
Vol 49 (1) ◽  
pp. 121-126
Author(s):  
ABDELBAKI BOUTABAA ◽  
ALAIN ESCASSUT
Keyword(s):  
General Result ◽  
Analytic Functions ◽  
Characteristic Zero ◽  
Meromorphic Functions ◽  
Closed Field ◽  
Open Disk ◽  
Second Main Theorem ◽  
Absolute Value ◽  
Small Functions

Abstract.Let K be an algebraically closed field of characteristic zero, complete with respect to an ultrametric absolute value. In a previous paper, we had found URSCM of 7 points for the whole set of unbounded analytic functions inside an open disk. Here we show the existence of URSCM of 5 points for the same set of functions. We notice a characterization of BI-URSCM of 4 points (and infinity) for meromorphic functions in K and can find BI-URSCM for unbounded meromorphic functions with 9 points (and infinity). The method is based on the p-Adic Nevanlinna Second Main Theorem on 3 Small Functions applied to unbounded analytic and meromorphic functions inside an open disk and we show a more general result based upon the hypothesis of a finite symmetric difference on sets of zeros, counting multiplicities.

Brownian motion with quadratic killing and some implications

1986 ◽  
Vol 23 (04) ◽  
pp. 893-903 ◽  
Author(s):  
Michael L. Wenocur
Keyword(s):  
Brownian Motion ◽  
Weibull Distribution ◽  
Special Function ◽  
Function Theory ◽  
Killing Rate

Brownian motion subject to a quadratic killing rate and its connection with the Weibull distribution is analyzed. The distribution obtained for the process killing time significantly generalizes the Weibull. The derivation involves the use of the Karhunen–Loève expansion for Brownian motion, special function theory, and the calculus of residues.

Experimental and Analytical Characterization of Firebrand Ignition of Home Insulation Materials

2019 ◽  
Vol 55 (3) ◽  
pp. 1027-1056 ◽  
Author(s):  
Savannah S. Wessies ◽  
Michael K. Chang ◽  
Kevin C. Marr ◽  
Ofodike A. Ezekoye
Keyword(s):  
Analytical Characterization ◽  
Insulation Materials

scholarly journals Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Xiao-Yuan Wang ◽  
Lei Shi ◽  
Zhi-Ren Wang
Keyword(s):  
Integral Operator ◽  
Zeta Function ◽  
Meromorphic Functions ◽  
Third Order ◽  
Lerch Zeta Function ◽  
Sandwich Type ◽  
Differential Superordination ◽  
Differential Subordinations

The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function. We make some applications of the operator Ws,bf(z) for meromorphic functions.

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