تقرير
Partial fraction expansions and zeros of Hankel transforms
العنوان: | Partial fraction expansions and zeros of Hankel transforms |
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المؤلفون: | Cho, Yong-Kum, Chung, Seok-Young, Park, Young Woong |
سنة النشر: | 2023 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 30D10, 33C10, 34C10, 44A15 |
الوصف: | It is proved by the method of partial fraction expansions and Sturm's oscillation theory that the zeros of certain Hankel transforms are all real and distributed regularly between consecutive zeros of Bessel functions. As an application, the sufficient or necessary conditions on parameters for which ${}_1F_2$ hypergeometric functions belong to the Laguerre-P\'olya class are investigated in a constructive manner. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2311.04385 |
رقم الأكسشن: | edsarx.2311.04385 |
قاعدة البيانات: | arXiv |
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