Hypergeometric function representation of the roots of a certain cubic equation

التفاصيل البيبلوغرافية
العنوان:	Hypergeometric function representation of the roots of a certain cubic equation
المؤلفون:	Qureshi, Mohammad Idris, Paris, Richard Bruce, Majid, Javid, Bhat, Aarif Hussain
بيانات النشر:	Işık University Press
سنة النشر:	2024
المجموعة:	Işık Üniversitesi: DSpace Repository
مصطلحات موضوعية:	Gauss hypergeometric function, Roots of a cubic, Pfaff-Kummer transformation
الوصف:	The aim in this note is to obtain new hypergeometric forms for the functions (?z ? 1 ? ?z) b ± (?z ? 1 ? ?z)?b, (?z ? 1 + ?z)b ± (?z ? 1 + ?z)?b, where b is an arbitrary parameter, in terms of Gauss hypergeometric functions. An application of these results (when b =1/3) is made to obtain the hypergeometric form of the roots of the cubic equation r3 ? r + 2/3?2/3 = 0. This complements the entry in the compendium of Prudnikov et al. on page 472, entry (68) of the table, where only the middle root (either real or purely imaginary) is given in hypergeometric form. ; Publisher's Version
نوع الوثيقة:	article in journal/newspaper
وصف الملف:	application/pdf
اللغة:	English
تدمد:	2146-1147 2587-1013
Relation:	TWMS Journal Of Applied And Engineering Mathematics; Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı; Qureshi, M. I., Paris, R. B., Majid, J. & Bhat, A. H. (2024). Hypergeometric function representation of the roots of a certain cubic equation. TWMS Journal Of Applied And Engineering Mathematics, 14(1), 395-401.; https://hdl.handle.net/11729/5878; https://jaem.isikun.edu.tr/web/index.php/archive/123-vol14no1/1181; 14; 395; 401
الاتاحة:	https://hdl.handle.net/11729/5878 https://jaem.isikun.edu.tr/web/index.php/archive/123-vol14no1/1181
Rights:	info:eu-repo/semantics/openAccess ; Attribution-NonCommercial-NoDerivs 3.0 United States ; http://creativecommons.org/licenses/by-nc-nd/3.0/us/
رقم الانضمام:	edsbas.8A9B1179
قاعدة البيانات:	BASE

View record in BASE

الوصف
تدمد:	21461147 25871013