On the Exact Analytical Solutions of Certain Lambert Transcendental Equations | Zendy

Slavica M. Perovich | Zendy; D.V. Tošić | Zendy; Sanja Bauk | Zendy; Stevan Kordić | Zendy

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On the Exact Analytical Solutions of Certain Lambert Transcendental Equations

Author(s) -

Slavica M. Perovich,

D.V. Tošić,

Sanja Bauk,

Stevan Kordić

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/685485

Subject(s) - transcendental equation , lambert w function , transcendental number , mathematics , mathematical proof , transcendental function , exact solutions in general relativity , calculus (dental) , mathematical analysis , differential equation , geometry , medicine , dentistry

The subject matter of this paper is the Special Trans Functions Theory (STFT) in finding the exact analytical closed form solutions (the newspecial tran functions) of certain Lambert transcendental equations. Note that these Lambert transcendental equations frequently appear in applied physicsand engineering domain. The structure of the theoretical derivations, proofs, and numerical results confirms validity and basic principles of the STFT. Undoubtedly,the proposed exact analytical approach implies the qualitative improvements of the conventional methods and techniques

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