Article
Error Bernoulli Polynomials and their Relation to Hermite Polynomials
Authors
Abstract
In this article we introduce and investigate new families of polynomials Bn( 1/2 ,x) called error Bernoulli polynomials through generating functions, Appell sequences and umbral calculus. We also show that these polynomials are related to the Hermite polynomials.
Keywords
Bernoulli numbers, Bernoulli polynomials, Hermite polynomials, Appell sequences, umbral calculus, hypergeometric Bernoulli polynomials and error Bernoulli polynomials
Citation
Geleta, H. L. (2018). Error bernoulli polynomials and their relation to hermite polynomials. Journal of Analysis & Number Theory, 6(1), 7–11. https://doi.org/10.18576/jant/060102
H. L. Geleta, “Error bernoulli polynomials and their relation to hermite polynomials,” Journal of Analysis & Number Theory, vol. 6, no. 1, pp. 7–11, 2018, doi: 10.18576/jant/060102.
Geleta HL. Error bernoulli polynomials and their relation to hermite polynomials. Journal of Analysis & Number Theory. 2018;6(1):7–11. doi:10.18576/jant/060102.
Geleta, H. L. (2018), ‘Error bernoulli polynomials and their relation to hermite polynomials’, Journal of Analysis & Number Theory, 6(1), pp. 7–11. Available at: https://doi.org/10.18576/jant/060102.
Geleta, Hunduma Legesse. “Error Bernoulli Polynomials and Their Relation to Hermite Polynomials.” Journal of Analysis & Number Theory, vol. 6, no. 1, 2018, pp. 7–11. https://doi.org/10.18576/jant/060102.
Geleta, Hunduma Legesse. “Error Bernoulli Polynomials and Their Relation to Hermite Polynomials.” Journal of Analysis & Number Theory 6, no. 1 (2018): 7–11. https://doi.org/10.18576/jant/060102.
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Published by: Engineering Journals
