Question

सिद्ध कीजिए कि फलन equation कौशी-रीमान और लाप्लास समीकरणों को संतुष्ट करता है।

29 Jan 2026
Answer :
Word Count : 290
मान लीजिए कोई जटिल फलन ( f(z) = u(x,y) + i v(x,y) ) है, जहाँ ( u ) और ( v ) वास्तविक फलन हैं और ( z = x + iy ) है। यदि ( f(z) ) अवकलनीय है, तो इसके अवकलन के लिए कौशी-रीमान समीकरण संतुष्ट ________ __________ ________ ________ ______ _________.
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