On A Certain Class of Bessel Integrals

Ali A. AL-JARRAH; A. AL-MOMANI

Makale detayları

On A Certain Class of Bessel Integrals

Yazarlar:

Ali A. AL-JARRAH | A. AL-MOMANI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2004 Vol.28 Issue 4, pp.399-414

Belge Tipi:

Makale

Yayın Tarihi:

3/2004

Belge Dili:

Türkçe

Document ID (Org No.):

2000748732

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

There are many old results of integrals involving Bessel  functions, currently available in handbooks, but we found no recourse  in the well-known references to how they were established.  In this  paper, we attempt to have a clear way of proving some of these results.  In fact, we consider a certain class of Bessel integrals where we  prove that such integrals vanish under certain conditions.  To this  end some theorems regarding this class of integrals with their proofs  are put forward.  A computer algorithm is provided to implement some  of our results.  The result in this paper extend the work in [3], and  it concludes by indicating the wide range of old and new results that  can be obtained.

 

There are many old results of integrals involving Bessel  functions, currently available in handbooks, but we found no recourse  in the well-known references to how they were established.  In this  paper, we attempt to have a clear way of proving some of these results.  In fact, we consider a certain class of Bessel integrals where we  prove that such integrals vanish under certain conditions.  To this  end some theorems regarding this class of integrals with their proofs  are put forward.  A computer algorithm is provided to implement some  of our results.  The result in this paper extend the work in [3], and  it concludes by indicating the wide range of old and new results that  can be obtained.

Makale detayları

On A Certain Class of Bessel Integrals

Yazarlar:

Ali A. AL-JARRAH | A. AL-MOMANI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2004 Vol.28 Issue 4, pp.399-414

Belge Tipi:

Makale

Yayın Tarihi:

3/2004

Belge Dili:

Türkçe

Document ID (Org No.):

2000748732

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Bessel Functions

Infinite Integrals

Integral Representations

Sayı

Makale detayları

On A Certain Class of Bessel Integrals

Yazarlar: Ali A. AL-JARRAH | A. AL-MOMANI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2004 Vol.28 Issue 4, pp.399-414

Belge Tipi: Makale

Yayın Tarihi: 3/2004

Belge Dili: Türkçe

Document ID (Org No.): 2000748732

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Bessel Functions

Infinite Integrals

Integral Representations

Sayı

Yazarlar:

Ali A. AL-JARRAH | A. AL-MOMANI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2004 Vol.28 Issue 4, pp.399-414

Belge Tipi:

Makale

Yayın Tarihi:

3/2004

Belge Dili:

Türkçe

Document ID (Org No.):

2000748732

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098