TY  - JOUR
T1  - Complex deformable calculus
AU  - Çakmak, Serkan
PY  - 2024
DA  - June
Y2  - 2024
DO  - 10.31801/cfsuasmas.1377811
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 486
EP  - 495
VL  - 73
IS  - 2
LA  - en
AB  - In this paper, we give a new complex deformable derivative and integral of order λ which coincides with the classical derivative and integral for the special values of the parameters. We examine the basic properties of this derivative and integral. We also investigate the basic concepts of complex analysis for the λ-complex deformable derivative. Finally, we give some applications.
KW  - Complex deformable derivative
KW  - complex deformable integral
KW  - complex deformable partial derivative
KW  - λ-deformable Cauchy-Riemann equations
KW  - λ-deformable analytic.
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UR  - https://doi.org/10.31801/cfsuasmas.1377811
L1  - https://dergipark.org.tr/en/download/article-file/3482530
ER  -