ON COMPLEX MULTIPLICATIVE INTEGRATION

Agamırza E. BASHIROV; S. NOROZPOUR

Makale detayları

ON COMPLEX MULTIPLICATIVE INTEGRATION

Yazarlar:

Agamırza E. BASHIROV | S. NOROZPOUR

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2017 Vol.7 Issue 1, pp.82-93

Belge Tipi:

Makale

Yayın Tarihi:

5/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000746176

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

In the present paper, we extend the multiplicative integral to complex-valued functions of complex variable. The main difficulty in this way, that is, the multi-valued nature of the complex logarithm is avoided by division of the interval of integration to a finite number of local intervals, in each of which the complex logarithm can be localized in one of its branches. Interestingly, the complex multiplicative integral became a multivalued function. Some basic properties of this integral are considered. In particular, it is proved that this integral and the complex multiplicative derivative are bonded in a kind of fundamental theorem.

Makale detayları

ON COMPLEX MULTIPLICATIVE INTEGRATION

Yazarlar: Agamırza E. BASHIROV | S. NOROZPOUR

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2017 Vol.7 Issue 1, pp.82-93

Belge Tipi: Makale

Yayın Tarihi: 5/2017

Belge Dili: İngilizce

Document ID (Org No.): 2000746176

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

Agamırza E. BASHIROV | S. NOROZPOUR

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2017 Vol.7 Issue 1, pp.82-93

Belge Tipi:

Makale

Yayın Tarihi:

5/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000746176

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147