“H”-FUNKSIYANING ASOSIY XOSSALARINING NAZARIY TAHLILI

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Nashr: Jild 5 Nomeri 1 : Естественные науки в современном мире: теоретические и практические исследования
Bo'lim: Maqolalar
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Osiyo Xalqaro Universiteti Xorazm filiali magistri
info@in-academy.uz

Abstrak:

Mazkur maqolada maxsus funksiyalar nazariyasida muhim o‘rin egallagan H-funksiyaning asosiy xossalari tahlil qilinadi. H-funksiyaning integral ta’rifi, linearlik, masshtablash, differensiallash hamda maxsus holatlarga o‘tish xususiyatlari yoritiladi. Tadqiqot Kilbas va Saigo hamda Mathai, Saxena va Haubold asarlariga tayanilgan holda olib borilgan. Olingan natijalar H-funksiyaning kasr tartibli hisob, matematik fizika va amaliy modellashtirishdagi universal vosita ekanligini ko‘rsatadi.

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##submission.howToCite##:

Madrimova , Y. (2026). “H”-FUNKSIYANING ASOSIY XOSSALARINING NAZARIY TAHLILI. Естественные науки в современном мире: теоретические и практические исследования, 5(1), 98–100. Retrieved from https://in-academy.uz/index.php/zdtf/article/view/72810

##submission.citations##:

Kilbas A.A., Saigo M. H-Transforms. Theory and Applications. — Boca Raton: Chapman & Hall/CRC, 2004. — 366 b. — B. 6–35.

Mathai A.M., Saxena R.K., Haubold H.J. The H-Function: Theory and Applications. — New York: Springer, 2010. — 466 b. — B. 42–65.

Mathai A.M., Saxena R.K. Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences. — Berlin–Heidelberg: Springer, 1973. — 314 b. — B. 112–145.

Srivastava H.M., Gupta K.C., Goyal S.P. The H-Functions of One and Two Variables with Applications. — New Delhi: South Asian Publishers, 1982. — 261 b. — B. 1–40.