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Some Polynomial Systems Associated with a Certain Family of Differential Operators

โœ Scribed by Kung-Yu Chen; Chuan-Jen Chyan; H.M. Srivastava

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
204 KB
Volume
268
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

The authors aim at presenting several (presumably new) classes of linear, bilinear, and mixed multilateral generating functions for some general systems of polynomials which are defined by means of a certain family of differential operators. Some of the generating functions considered here are associated with the Stirling numbers of the second kind. Many (known or new) consequences and applications of the results obtained in this paper are also indicated. ๏ฃฉ 2002 Elsevier Science (USA)

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## Abstract We use the method proposed by H. Kumanoโ€go in the classical case to construct a parametrix of the equation $ \textstyle {{\partial u} \over {\partial t}}$ + __q__ (__x, D__ )__u__ = 0 where __q__ (__x, D__ ) is a pseudoโ€differential operator with symbol in the class introduced by W. Hoh