Some results on the integral transforms

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Atıf İçin Kopyala

DERNEK A. N., AYLIKCI F.

TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.2, ss.337-349, 2017 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 41 Sayı: 2
• Basım Tarihi: 2017
• Doi Numarası: 10.3906/mat-1501-79
• Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.337-349
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.