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  • This monograph is intended as an attempt to make undergraduate university students acquainted with the construction of some new mathematical terms within mathematical analysis. There are functional equations used for this purpose here. Functional equations are (claimless accuracy) equations, both sides of which are terms formed by a finite number of unknown functions and by a finite number of independent variables. The peculiarity of functional equations, compared with other equations (algebraic, differential, integral etc.), is that one functional equation can contain more unknown functions in the sense that all unknown functions can be determined from it. Just this fact plays the most important role especially in the construction of new elementary functions - so called generalized elementary functions.
  • This monograph is intended as an attempt to make undergraduate university students acquainted with the construction of some new mathematical terms within mathematical analysis. There are functional equations used for this purpose here. Functional equations are (claimless accuracy) equations, both sides of which are terms formed by a finite number of unknown functions and by a finite number of independent variables. The peculiarity of functional equations, compared with other equations (algebraic, differential, integral etc.), is that one functional equation can contain more unknown functions in the sense that all unknown functions can be determined from it. Just this fact plays the most important role especially in the construction of new elementary functions - so called generalized elementary functions. (en)
Title
  • Functional Equations and Elementary Functions
  • Functional Equations and Elementary Functions (en)
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  • Functional Equations and Elementary Functions
  • Functional Equations and Elementary Functions (en)
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  • RIV/44555601:13430/09:00005273!RIV10-MSM-13430___
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  • RIV/44555601:13430/09:00005273
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  • Cauchy's functional equation; Jensen's function; polynomial (en)
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  • [426F85A50D23]
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  • Ústí nad Labem
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  • Acta Universitatis Purkynianae,Studia Mathematica
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  • Functional Equations and Elementary Functions
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  • Zdráhal, Tomáš
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  • Univerzita Jana Evangelisty Purkyně v Ústí nad Labem
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  • 978-80-7414-185-0
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  • 13430
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