Analyticity of the Complex Time Scale Exponential

KARPUZ, BAŞAK

doi:10.1007/s11785-016-0562-3

Analyticity of the Complex Time Scale Exponential

KARPUZ B.

COMPLEX ANALYSIS AND OPERATOR THEORY, cilt.11, sa.1, ss.21-34, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 11 Sayı: 1
Basım Tarihi: 2017
Doi Numarası: 10.1007/s11785-016-0562-3
Dergi Adı: COMPLEX ANALYSIS AND OPERATOR THEORY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.21-34
Anahtar Kelimeler: Analytic functions, Differential equations in the complex plane, Time scales exponential function
Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, we prove the analyticity property of the complex time scales exponential function , where and z is a regressive complex variable. We also prove various properties of the function , where , one of which yields the alternative expression of the exponential function in terms of the contour integral in the regressive complex domain.