Some results on the integral transforms

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DERNEK A. N., AYLIKCI F.

TURKISH JOURNAL OF MATHEMATICS, vol.41, no.2, pp.337-349, 2017 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 41 Issue: 2
• Publication Date: 2017
• Doi Number: 10.3906/mat-1501-79
• Journal Name: TURKISH JOURNAL OF MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.337-349
• Open Archive Collection: AVESIS Open Access Collection
• Yıldız Technical University Affiliated: Yes

Abstract

In this paper, the authors consider the P-v,P-2n-transform, the g(n)-transform, and the kappa(v,n)-transform as generalizations of the Widder potential transform, the Glasser transform, and the kappa(v)-transform, respectively. Many identities involving these transforms are given. A number of new Parseval Goldstein type identities are obtained for these and many other well-known integral transforms. Some useful corollaries for evaluating infinite integrals of special functions are presented. Illustrative examples are given for the results.