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The copyright of a submitted article is only transferred to the publishers if and when the article is accepted for publication. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, electrostatic, mechanical, photocopying, recording or otherwise without the prior written permission of the publishers.
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On Generalised heat Polynomials
Abstract
The present paper is concerned with a polynomial set associated with generalised heat polynomial 'due to D. T. Haimo (1966). Associated polynomial set hat been subjected to further investigations and several properties. such as explicit form, finite, summation formula, generating'Neictioi41-44d.) bilateral generating functions, have been established. The: paper has been concluded by giving some series relations for generalised heat polynomials in terms of circular, hyperbolic and hypergeometric functions. The corresponding results for the ordinary heat polynomials of even order defined' by. P.C. Rosenbloom and D.V.Widder (1959) and the Hermite polynomials of even order are rendered intuitive.
