On Generalized Growth of Analytic Functions Solutions of Linear Homogeneous Partial Differential Equation of Second Order-Reference-Cited by-同舟云学术

On Generalized Growth of Analytic Functions Solutions of Linear Homogeneous Partial Differential Equation of Second Order

Published:2017-11-15 Issue: Volume:2017 Page:1-6
ISSN:2314-4963
Container-title:Journal of Complex Analysis
language:en
Short-container-title:Journal of Complex Analysis

Author:

Kumar Devendra¹²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Al-Baha University, P.O. Box 1988, Al-Aqiq, Al-Baha 65431, Saudi Arabia

2. Department of Mathematics, Research and Post Graduate Studies, MMH College, Model Town, Ghaziabad 201 001, India

Abstract

The generalized growth parameters of analytic functions solutions of linear homogeneous partial differential equations of second order have been studied. Moreover, coefficients characterizations of generalized order and generalized type of the solutions represented in convergent series of Laguerre polynomials have been obtained.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/archive/2017/8138309.pdf

Reference19 articles.

1. Global solutions of homogeneous linear partial differential equations of the second order

2. A linear homogeneous partial differential equation with entire solutions represented by Bessel polynomials

3. On Certain First-Order Partial Differential Equations in C n

4. Malmquist type theorem and factorization of meromorphic solutions of partial differential equations

5. On meromorphic solutions of nonlinear partial differential equations of first order

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