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DROP Sample Gamma Package

DROP Sample Gamma illustrates Estimates of the Gamma Functions.

Class Components

Sample Source Output
Big Pi Multiplication Property Java DROP
Big Pi Reflection Property Java DROP
Comparative Estimate Java DROP
Duplication Property Java DROP
Exponential Convex Property Java DROP
First Derivative Estimate Java DROP
Fourier Blagouchine Series Estimate Java DROP
Gautschi Convex Property Java DROP
Higher Derivative Estimate Java DROP
Jensen Convex Property Java DROP
Logarithmic Convex Property Java DROP
Multiplication Property Java DROP
Power Source Exponential Decay Estimate Java DROP
Reflection Property Java DROP
Riemann Zeta Analytic Continuity Java DROP
Riemann Zeta Estimate Java DROP
Spaced Point Convex Property Java DROP
Stretched Exponential Moment Estimate Java DROP
Upper Asymptote Property Java DROP

Hierarchy

References

  • Blagouchine, I. V. (2014): Re-discovery of Malmsten's Integrals, their Evaluation by Contour Integration Methods, and some Related Results Ramanujan Journal 35 (1) 21-110

  • Borwein, J. M., and R. M. Corless (2017): Gamma Function and the Factorial in the Monthly https://arxiv.org/abs/1703.05349 arXiv

  • Davis, P. J. (1959): Leonhard Euler's Integral: A Historical Profile of the Gamma Function American Mathematical Monthly 66 (10) 849-869

  • Whitaker, E. T., and G. N. Watson (1996): A Course on Modern Analysis Cambridge University Press New York

  • Wikipedia (2019): Gamma Function https://en.wikipedia.org/wiki/Gamma_function

DROP Specifications