Funksional tenglama sahifasining manbasini koʻrish

[[Matematika]]da '''funksional tenglama'''<ref name="rassias">
{{Kitob manbasi
|title=Functional Equations and Inequalities
|last=Rassias
|first=Themistocles M.
|year=2000
|publisher=Kluwer Academic Publishers
|location=3300 AA Dordrecht, The Netherlands
|isbn=0-7923-6484-8
|page= 335
|url=https://books.google.com/?id=tFTFBAAAQBAJ&printsec=frontcover&dq=%22Introduction+to+the+Theory+of+Functional+Equations+and+Inequalities%22
}}
</ref><ref name="rassias2">
{{Kitob manbasi
|title=Stability of Functional Equations in Several Variables
|last= Hyers, D. H.
|author2=Isac, G. |author3=Rassias, Th. M. 
|year=1998
|publisher=Birkhäuser Verlag
|location=Boston
|isbn=0-8176-4024-X
|page= 313
}}
</ref><ref name="rassias3">
{{Kitob manbasi
|title=Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis
|last=Jung
|first=Soon-Mo
|year=2001
|publisher=Hadronic Press, Inc.
|location=35246 US 19 North # 115, Palm Harbor, FL 34684 USA
|isbn=1-57485-051-2
|page= 256
}}
</ref><ref name="rassias4">
{{Kitob manbasi
|title=Functional Equations and Inequalities in Several Variables
|last=Czerwik
|first=Stephan
|year=2002
|publisher=World Scientific Publishing Co.
|location=P O Box 128, Farrer Road, Singapore 912805
|isbn=981-02-4837-7
|page= 410
}}
</ref> — nomaʼlumi funksiya boʻlib keladigan har qanday [[tenglama]]. Koʻpincha, tenglama funksiyaning (yoki funksiyalarning) bir nuqtadagi qiymatini boshqa nuqtalardagi qiymatlari bilan bogʻlaydi. Masalan, funksiyalarning qiymatlarini ular qanoatlantiradigan funksional tenglamalarning turlarini koʻrib chiqish orqali aniqlash mumkin. ''Funksional tenglama'' atamasi odatda [[algebraik tenglama]]lar yoki [[differensial tenglama]]larga keltirish mumkin boʻlmagan tenglamalarni anglatadi.
== Misol ==
*
::<math>
f(s) = 2^s\pi^{s-1}\sin\left(\frac{\pi s}{2}\right)\Gamma(1-s)f(1-s)
</math>

:koʻrinishidagi tenglamani [[Riemann zeta funksiyasi]] qanoatlantiradi. Bu yerdagi &Gamma; harfi [[gamma-funksiya]]ni anglatadi.

== Izohlar ==
<references/>
== Manbalar ==
*János Aczél, ''[https://books.google.com/books?id=JEB0BFvRwrcC&printsec=frontcover&dq=isbn:0792364848&hl=en&sa=X&ved=0ahUKEwjygO290cHjAhXBLc0KHYWPC0oQ6AEIKjAA#v=onepage&q&f=false Lectures on Functional Equations and Their Applications]'', Academic Press, 1966,  reprinted by Dover Publications,  {{ISBN|0486445232}} .
*János Aczél & J. Dhombres, ''[https://books.google.com/books?id=8EWnEh18rVgC&printsec=frontcover&dq=%22Functional+Equations+in+Several+Variables%22&hl=en&sa=X&ved=0ahUKEwi6orf1q-riAhUMbq0KHUrvD_gQ6AEIKjAA#v=onepage&q=%22Functional%20Equations%20in%20Several%20Variables%22&f=false Functional Equations in Several Variables]'', Cambridge University Press, 1989.
*C. Efthimiou, ''Introduction to Functional Equations'', AMS, 2011, {{isbn|978-0-8218-5314-6}} ; [http://www.msri.org/people/staff/levy/files/MCL/Efthimiou/100914book.pdf  online] {{Webarxiv|url=https://web.archive.org/web/20201125134245/https://www.msri.org/people/staff/levy/files/MCL/Efthimiou/100914book.pdf |date=2020-11-25 }}.
*Pl. Kannappan, ''[https://books.google.com/books?hl=en&lr=&id=SdZoCM2OeuIC&oi=fnd&pg=PA1&dq=%22Functional+Equations+and+Inequalities+with+Applications%22&ots=GMxSJ7mUw4&sig=Rzz_1Rdt3VOwx_FawgihJYdcag4#v=onepage&q=%22Functional%20Equations%20and%20Inequalities%20with%20Applications%22&f=false Functional Equations and Inequalities with Applications]'', Springer, 2009.
*Marek Kuczma, ''[https://books.google.com/books?id=tFTFBAAAQBAJ&printsec=frontcover&dq=%22Introduction+to+the+Theory+of+Functional+Equations+and+Inequalities%22&hl=en&sa=X&ved=0ahUKEwjt3Yrd0cHjAhWIXM0KHTnjDaUQ6AEIKjAA#v=onepage&q=%22Introduction%20to%20the%20Theory%20of%20Functional%20Equations%20and%20Inequalities%22&f=false Introduction to the Theory of Functional Equations and Inequalities]'', second edition, Birkhäuser, 2009.
*Henrik Stetkær, ''[https://books.google.com/books?hl=en&lr=&id=JzS7CgAAQBAJ&oi=fnd&pg=PR5&dq=%22Functional+Equations+on+Groups%22&ots=gR70hWPPVB&sig=xLsnUUDLjI94MJ9HaNOBFSzhP9o#v=onepage&q=%22Functional%20Equations%20on%20Groups%22&f=false Functional Equations on Groups]'', first edition, World Scientific Publishing, 2013.
*{{Kitob manbasi|author=Christopher G. Small|title=Functional Equations and How to Solve Them|url=https://books.google.com/books?id=2D2RYbb22nMC&printsec=frontcover|date=3-aprel 2007|publisher=Springer Science & Business Media|isbn=978-0-387-48901-8}}
== Havolalar == 
* [http://eqworld.ipmnet.ru/en/solutions/fe.htm Funksional tenglamalar va ularning yechilish usullari] EqWorld saytida

{{Tashqi havolalar}}