identity-type functions and polynomials
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ID: 161739
2007
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Abstract
For a noncommuting product of functions, similar to convolutions, an “identity-type function” leaving a specific function invariant is defined. It is evaluated for any choice of function on which it acts by solving a functional equation. A closed-form representation for the identity-type function of (1+t)−b(b>0) is obtained, which is a solution of a second-order linear differential equation with given boundary conditions. It yields orthogonal polynomials whose graphs are also given. The relevance for solution of boundary value problems by a series and convergence of the series are briefly discussed.
| Reference Key |
chaudhry2007internationalidentity-type
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|---|---|
| Authors | ;M. Aslam Chaudhry;Asghar Qadir |
| Journal | structural engineering and mechanics |
| Year | 2007 |
| DOI |
10.1155/2007/94204
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| URL | |
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