IDENTITIES FOR THE L_n-TRANSFORM, THE L_(2n)-TRANSFORMAND THE P_(2n) TRANSFORM AND THEIR APPLICATIONS


Aylıkcı F. , Dernek N.

JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, no.4, ss.1-16, 2014 (Diğer Kurumların Hakemli Dergileri)

  • Basım Tarihi: 2014
  • Dergi Adı: JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS
  • Sayfa Sayısı: ss.1-16

Özet

In the present paper, the authors introduce several new integral transforms including the Ln-transform, the L2n-transform and P2n-transform generalizations of the classical Laplace transform and the classical Stieltjes transform as respectively.It is shown that the second iterate of the L2n-transform is essentially the P2n-transform. Using this relationship, a few new ParsevalGoldstein type identities are obtained.The theorem and the lemmas that are proven in this article are new useful relations for evaluating infinite integrals of special functions. Some related illustrative examples are also given.