Struve Function Calculator
Free online struve function calculator. Enter your values and get instant results with the formula, step-by-step working, a worked example and FAQs — everything runs locally in your browser on Calcton, no signup required.
中文版：Struve 函数在线计算器
Struve 函数 Hᵥ(x) 是非齐次贝塞尔方程 y″ + y′/x + (1 − ν²/x²)y = x^(ν−1)/(√π·Γ(ν+½)·2^ν) 的特解——「右边不为零」是它与 Jᵥ 的本质区别：Jᵥ 描述自由振动，Hᵥ 描述被持续驱动的响应。声学里喇叭颈部的声阻抗、光学衍射理论中的条带孔径、地震波散射都会请出它。
计算上采用级数 Hᵥ(x) = Σ (−1)^k (x/2)^(2k+ν+1) / (Γ(k+3/2)·Γ(k+ν+3/2))，并用积分表示做独立对拍：H₀(x) = (2/π)∫₀^(π/2) sin(x·sinθ) dθ、H₁(x) = (2x/π)∫₀^(π/2) cos²θ·sin(x·sinθ) dθ，θ 代换天然消除了被积函数在原点的奇性。
参考值
H₀(1) = 0.5686566270482879，H₁(1) = 0.198457336201944
H₀(5) = −0.185216815776678，H₁(5) = 0.807811945794073
小 x 行为 H₀(x) ≈ 2x/π，Hᵥ ≈ (x/2)^(ν+1) / (√π·Γ(ν+3/2))
How to use the Struve Function Calculator
- Fill in the inputs with your own numbers — every field shows what it expects.
- The result updates instantly as you type; no "Calculate" click needed.
- Read the result card for the main figure, the step-by-step formula, and practical notes.
Frequently asked questions
Is the Struve Function Calculator free?
Yes — all math calculators on Calcton are free, with no sign-up required. Your inputs are processed in your browser and never sent to a server.
Is there a Chinese version of this tool?
Yes. Use the Chinese version link above — it is the same calculator with the interface in Simplified Chinese.
References
Formulas and benchmarks used by this calculator follow these published sources.
KevinContent LeadCalcton Editorial Team · Last updated 2026-09-27
Kevin maintains Calcton's formula verification and content: every calculator cites the standard it implements, worked examples are recomputed programmatically, and health benchmarks follow WHO and international guidelines.
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