On the analytical solution of some families of transcendental equations

S. M. Perovich; S. K. Simic; D. V. Tosic; S. I. Bauk

doi:10.1016/j.aml.2006.06.008

On the analytical solution of some families of transcendental equations

S. M. Perovich, S. K. Simic, D. V. Tosic, S. I. Bauk

University of Montenegro

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

The problem of finding the exact analytical closed-form solution of some families of transcendental equations is studied, in some detail, by the Special Trans Function Theory (STFT). The mathematical genesis of the analytical closed-form solution is presented, and the structure of the theoretical derivation, proofs and numerical results confirm the validity and base principle of the STFT. Undoubtedly, the proposed analytical approach implies the qualitative improvement of the conventional analytical and numerical methods.

Original language	English
Pages (from-to)	493-498
Number of pages	6
Journal	Applied Mathematics Letters
Volume	20
Issue number	5
DOIs	https://doi.org/10.1016/j.aml.2006.06.008
Publication status	Published - May 2007
Externally published	Yes

Keywords

Analytical closed-form solution
EQID
Families of transcendental equations
STFT

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2006.06.008

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abstract = "The problem of finding the exact analytical closed-form solution of some families of transcendental equations is studied, in some detail, by the Special Trans Function Theory (STFT). The mathematical genesis of the analytical closed-form solution is presented, and the structure of the theoretical derivation, proofs and numerical results confirm the validity and base principle of the STFT. Undoubtedly, the proposed analytical approach implies the qualitative improvement of the conventional analytical and numerical methods.",

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AU - Simic, S. K.

AU - Tosic, D. V.

AU - Bauk, S. I.

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AB - The problem of finding the exact analytical closed-form solution of some families of transcendental equations is studied, in some detail, by the Special Trans Function Theory (STFT). The mathematical genesis of the analytical closed-form solution is presented, and the structure of the theoretical derivation, proofs and numerical results confirm the validity and base principle of the STFT. Undoubtedly, the proposed analytical approach implies the qualitative improvement of the conventional analytical and numerical methods.

KW - Analytical closed-form solution

KW - EQID

KW - Families of transcendental equations

KW - STFT

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ER -

On the analytical solution of some families of transcendental equations

Abstract

Keywords

ASJC Scopus subject areas

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