Complex deformable calculus

Abstract

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.

Keywords

• Complex deformable derivative
• complex deformable integral
• complex deformable partial derivative
• λ-deformable Cauchy-Riemann equations
• λ-deformable analytic.

References

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