Some Laplace transforms and integral representations for parabolic cylinder functions and error functions

Dirk VEESTRAETEN

doi:https://doi.org/10.15672/hujms.612642

Makale detayları

Some Laplace transforms and integral representations for parabolic cylinder functions and error functions

Yazarlar:

Dirk VEESTRAETEN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 1, pp.63-78

Belge Tipi:

Makale

Yayın Tarihi:

2/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450774

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.612642

Özet:

 

This paper uses the convolution theorem of the Laplace transform to derive new inverse Laplace transforms for the product of two parabolic cylinder functions in which the arguments may have opposite sign. These transforms are subsequently specialized for products of the error function and its complement thereby yielding new integral representations for products of the latter two functions. The transforms that are derived in this paper also allow to correct two inverse Laplace transforms that are widely reported in the literature and subsequently uses one of the corrected expressions to obtain two new definite integrals for the generalized hypergeometric function.

Makale detayları

Some Laplace transforms and integral representations for parabolic cylinder functions and error functions

Yazarlar: Dirk VEESTRAETEN

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 1, pp.63-78

Belge Tipi: Makale

Yayın Tarihi: 2/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450774

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.612642

Sayı

Yazarlar:

Dirk VEESTRAETEN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 1, pp.63-78

Belge Tipi:

Makale

Yayın Tarihi:

2/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450774

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.612642