The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

Growth and Approximation of Entire Solutions of Linear Partial Differential Equation in Terms of Bessel Polynomial Approximation Errors in Lp-norm, 1 ≤ p ≤ ∞


Devendra Kumar

Department of Mathematics, Faculty of Sciences
Al-Baha University,
P.O.Box-7738 Alaqiq, Al-Baha-65799,
Saudi Arabia.


We deal with entire solutions of some special type linear homogeneous partial differential equations that are represented in convergent series of Bessel polynomials. We determine the growth orders and types of the solutions, in terms of Bessel polynomial approximation errors in both sup norm and Lp-norm, 1 p .

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