Word Count : 386

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दिए गए फलन के लिए फूरिए श्रेणी (Fourier series) प्राप्त करते हैं। फलन: [ f(x) = \pi^2 - x^2, \quad -\pi < x < 0 ] यहाँ केवल नकारात्मक अंतराल है, इसलिए हम इसे (2\pi)-आवर्तकाल वाली विषम विस्तारित श्रृंखला के लिए विचार करेंगे। लेकिन चूंकि फंक्शन (x^2) और (\pi^2) समानांतर हैं (even), और यह -π से 0 तक दिया है, हम सिन श्रृंखला (sine series) के लिए इसे odd extension मान सकते हैं। सामान्य फूरिए श्रेणी रूप ________ _______ __________ ____ _______ _______ _______ _______ __________ _____.
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