ON BESSEL FUNCTIONS AND THE MODIFIED BESSEL FUNCTIONS AND ITS PROPERTIES

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Thesis and Dissertation

On Bessel Functions And The Modified Bessel Functions And Its Properties

Mathematics Project Topics

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In this paper we study Bessel differential equation of the form Ý”à¬¶Ý•á‡±á‡±+Ý•Ý”á‡±+(Ý”à¬¶âˆ’Ý’à¬¶)Ý•=0, and the modified Bessel equation of the form Ý”à¬¶Ý•á‡±á‡±+Ý•Ý”á‡±âˆ’(Ý”à¬¶+Ý’à¬¶)Ý•=0Along with the corresponding Bessel functions Ü¬à¯¡(Ý”) = à·Ž(âˆ’1)à¯ Ý”à¬¶à¯ à¬¾à¯¡2à¬¶à¯ à¬¾à¯¡Ý‰!(ÝŠ+Ý‰)!à®¶à¯ à€à¬´and the modified Bessel function Ü«à¯©(Ý”)=à·á‰€à¯«à¬¶á‰à¬¶à¯ à¬¾à¯©Ý‰!ß(Ý‰+Ý’+1)à®¶à¯ à€à¬´and the pertinent properties

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On Bessel Functions And The Modified Bessel Functions And Its Properties

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