Numerical Results for the Generalized Mittag-Leffler Function

Seybold, H. J.; Hilfer, R.

Fractional Calculus and Applied Analysis (2005)

  • Volume: 8, Issue: 2, page 127-139
  • ISSN: 1311-0454

Abstract

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Mathematics Subject Classification: 33E12, 33FXX PACS (Physics Abstracts Classification Scheme): 02.30.Gp, 02.60.GfResults of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10 ≤ Im z ≤ 10 of the complex plane. This function is related to the eigenfunction of a fractional derivative of order α = 0.8 and type β = 0.5.

How to cite

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Seybold, H. J., and Hilfer, R.. "Numerical Results for the Generalized Mittag-Leffler Function." Fractional Calculus and Applied Analysis 8.2 (2005): 127-139. <http://eudml.org/doc/11281>.

@article{Seybold2005,
abstract = {Mathematics Subject Classification: 33E12, 33FXX PACS (Physics Abstracts Classification Scheme): 02.30.Gp, 02.60.GfResults of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10 ≤ Im z ≤ 10 of the complex plane. This function is related to the eigenfunction of a fractional derivative of order α = 0.8 and type β = 0.5.},
author = {Seybold, H. J., Hilfer, R.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {33E12},
language = {eng},
number = {2},
pages = {127-139},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Numerical Results for the Generalized Mittag-Leffler Function},
url = {http://eudml.org/doc/11281},
volume = {8},
year = {2005},
}

TY - JOUR
AU - Seybold, H. J.
AU - Hilfer, R.
TI - Numerical Results for the Generalized Mittag-Leffler Function
JO - Fractional Calculus and Applied Analysis
PY - 2005
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 8
IS - 2
SP - 127
EP - 139
AB - Mathematics Subject Classification: 33E12, 33FXX PACS (Physics Abstracts Classification Scheme): 02.30.Gp, 02.60.GfResults of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10 ≤ Im z ≤ 10 of the complex plane. This function is related to the eigenfunction of a fractional derivative of order α = 0.8 and type β = 0.5.
LA - eng
KW - 33E12
UR - http://eudml.org/doc/11281
ER -

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