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Summability of Laguerre expansions

сУММИРУЕМОсть РАжлО жЕНИИ лАгЕРРА

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Abstract

В РАБОтЕ пОлУЧЕНы УсИ лЕНИь РЕжУльтАтОВ МА РкЕттА О сУММИРУЕМОстИ МОДИФ ИцИРОВАННых РАжлОжЕНИИ лАгЕРРА. У стАНОВлЕНО, ЧтОα=1/6 Ест ь кРИтИЧЕскИИ ИНДЕкс Д ль сУММИРУЕМОстИ пО ЧЕжАРО. ДОкАжАНО, Чт О пРИα=1/6 сРЕДНИЕ ЧЕжАР О схОДьтсь пОЧтИ ВсУДУ. пОлУЧЕН тАкжЕ АНАлОг тЕОРЕМы ФЕИЕРА-лЕБЕгА.

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  1. T.I.F.R Centre, I.I Sc. Campus, 560 012, Bangalore, India

    S. Thangavelu

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  1. S. Thangavelu
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Thangavelu, S. Summability of Laguerre expansions. Analysis Mathematica 16, 303–315 (1990). https://doi.org/10.1007/BF02630363

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  • DOI: https://doi.org/10.1007/BF02630363

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