The general analytical expression for computation of generalized relativistic Fermi-Dirac functions

Мамедов, Б. А.

doi:10.1016/j.newast.2022.101874

New Astronomy

2022

DOI: 10.1016/j.newast.2022.101874

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The general analytical expression for computation of generalized relativistic Fermi-Dirac functions

Б. А. Мамедов

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2024

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Accurate analytical evaluation of the generalized logarithmic and double Fermi–Dirac and Bose–Einstein functions

Mamedov,

Özgül

2024

Contrib. Plasma Phys

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The accurate definition and powerful evaluation modeling of the various generalized Fermi–Dirac and Bose–Einstein functions remain a challenging problem in various areas of physics. In this study, we develop a general analytical technique for accurately calculating logarithmic and double Fermi–Dirac and Bose–Einstein functions. The obtaining analytical formulae are established by considering the binomial expansion theorem. The obtained expressions are valid in chemical potential values between ‐∞ <μ <0 and have been designated as explicit form features, high precision, and less computing time. The calculation results are tabularly illustrated to show the consistency of the analytical relations analysis under the effect of parameters. Based on a comprehensive analysis of the results, they are potentially useful in applications to evaluate thermionic emission and astrophysics problems.

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Accurate analytical evaluation of the generalized logarithmic and double Fermi–Dirac and Bose–Einstein functions

Mamedov,

Özgül

2024

Contrib. Plasma Phys

View full text Add to dashboard Cite

show abstract

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The general analytical expression for computation of generalized relativistic Fermi-Dirac functions

Cited by 1 publication

References 20 publications

Accurate analytical evaluation of the generalized logarithmic and double Fermi–Dirac and Bose–Einstein functions

Accurate analytical evaluation of the generalized logarithmic and double Fermi–Dirac and Bose–Einstein functions

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