What does entire function mean?

Definitions for entire function
en·tire func·tion

This dictionary definitions page includes all the possible meanings, example usage and translations of the word entire function.

Wiktionary

  1. entire functionnoun

    Any function of a complex variable that is holomorphic throughout the complex plane

Wikipedia

  1. Entire function

    In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane. Typical examples of entire functions are polynomials and the exponential function, and any finite sums, products and compositions of these, such as the trigonometric functions sine and cosine and their hyperbolic counterparts sinh and cosh, as well as derivatives and integrals of entire functions such as the error function. If an entire function f(z) has a root at w, then f(z) / (z − w), taking the limit value at w, is an entire function. On the other hand, the natural logarithm, the reciprocal function, and the square root are all not entire functions, nor can they be continued analytically to an entire function. A transcendental entire function is an entire function that is not a polynomial.

Wikidata

  1. Entire function

    In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic over the whole complex plane. Typical examples of entire functions are the polynomials and the exponential function, and any sums, products and compositions of these, such as the trigonometric functions sine and cosine and their hyperbolic counterparts sinh and cosh, as well as derivatives and integrals of entire functions such as the error function. If an entire function f has a root at w, then f/ is an entire function. On the other hand, neither the natural logarithm nor the square root is an entire function, nor can they be continued analytically to an entire function. A transcendental entire function is an entire function that is not a polynomial.

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Numerology

  1. Chaldean Numerology

    The numerical value of entire function in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of entire function in Pythagorean Numerology is: 2

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"entire function." Definitions.net. STANDS4 LLC, 2024. Web. 28 Mar. 2024. <https://www.definitions.net/definition/entire+function>.

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