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Evaluation of the Excessive Initial Values in the Twodimensional Operational Calculus
Author(s) -
Berg L.
Publication year - 1975
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19750551202
Subject(s) - operational calculus , generalization , formal power series , mathematics , calculus (dental) , polynomial , operator (biology) , series (stratigraphy) , power series , inversion (geology) , mathematical analysis , medicine , paleontology , biochemistry , chemistry , dentistry , repressor , structural basin , transcription factor , gene , biology
Solving equations by means of operator formulas in some cases more initial values can occur, than are necessary to determine the solution uniquely. Here we describe a method to evaluate these excessive initial values in the general two‐dimensional operational calculus, and we outline the specialization to the discrete, the mixed and the continuous case. This method is based on a generalization of a theorem by W. Jentsch, which is proved previously by means of formal power series. The results about these series concerning their composition, substitution, inversion, and the solution of corresponding polynomial equations may be used also in asymptotics.