@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q1546155 rdfs:label "Funció zeta de Lerch"@ca,
        "Lerchsche Zeta-Funktion"@de,
        "Lerch transcendent"@en,
        "transcendaĵo de Lerch"@eo,
        "Función zeta de Lerch"@es,
        "Lerchin transsendentti"@fi,
        "Fonction zêta de Lerch"@fr,
        "Funzione trascendente di Lerch"@it,
        "レルヒのゼータ函数"@ja,
        "трансцендентная функция Лерха"@ru,
        "Lerchs transcendent"@sv,
        "勒奇超越函数"@zh ;
    schema1:dateModified "2026-03-17T23:39:58+00:00"^^xsd:dateTime ;
    schema1:description "Funció especial"@ca,
        "mathematische Funktion"@de,
        "special mathematical function given by the series ∑_{n=0}^∞ z^n/(n+α)^s"@en,
        "matematika funkcio difinita per la serio ∑_{n=0}^∞ z^n/(n+α)^s"@eo,
        "специальная математическая функция"@ru ;
    schema1:version 2473084556 ;
    wikibase:identifiers 4 ;
    wikibase:sitelinks 10 ;
    wikibase:statements 10 ;
    skos:altLabel "Funció zeta d'Hurwitz-Lerch"@ca,
        "Transcendent de Lerch"@ca,
        "Lerchsche ζ-Funktion"@de,
        "Transzendente Lerch-Funktion"@de,
        "Lerch zeta function"@en,
        "Funcion zeta de Hurwitz Lerch"@es,
        "Funcion zeta de Hurwitz-Lerch"@es,
        "Funcion zeta de Lerch"@es,
        "Función zeta de Hurwitz Lerch"@es,
        "Función zeta de Hurwitz-Lerch"@es,
        "Fonction zeta de Lerch"@fr,
        "Funzione transcendente di Lerch"@it,
        "レルヒのゼータ関数"@ja,
        "レルヒゼータ函数"@ja,
        "レルヒゼータ関数"@ja,
        "дзета-функция Лерха"@ru ;
    p:P138 wds:Q1546155-1fbf4781-4938-e9e2-d046-345eba4b9917,
        wds:Q1546155-f7d5ef6f-489d-203e-96c1-44aec12790ab ;
    p:P2534 wds:Q1546155-71c9a1c9-4049-10ab-188c-3ad79ad7f987 ;
    p:P2812 wds:Q1546155-BD5274F0-1A19-44ED-87BB-DAE7BB97292A ;
    p:P31 wds:Q1546155-504ead41-466d-a213-82a0-e63ce975c18d,
        wds:Q1546155-c00cf363-4534-d941-62c9-aa6fd223bd2d ;
    p:P6104 wds:Q1546155-DD360227-8E0C-464B-ADB2-95B1F46B2B4F ;
    p:P6366 wds:Q1546155-F03E8D4A-A541-4A78-9F7C-0431E445411F ;
    p:P646 wds:Q1546155-6BEFDA2F-C72E-4D9F-9502-9B3E6D4B569C ;
    p:P6781 wds:Q1546155-b063db38-42f4-9a56-cd56-8d93c5ef9d02 ;
    wdtn:P6366 <https://makg.org/entity/2781367352> ;
    wdt:P138 wd:Q58809,
        wd:Q78826 ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>L</mi><mo stretchy=\"false\">(</mo><mi>&#x03BB;</mi><mo>,</mo><mi>&#x03B1;</mi><mo>,</mo><mi>s</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><msup><mi>e</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mn>2</mn><mi>&#x03C0;</mi><mi>i</mi><mi>&#x03BB;</mi><mi>n</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">+</mo><mi>&#x03B1;</mi><msup><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>s</mi></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>Φ</mi><mo stretchy=\"false\">(</mo><mi>z</mi><mo>,</mo><mi>α</mi><mo>,</mo><mi>s</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><munderover><mo movablelimits=\"false\" stretchy=\"false\">∑</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">∞</mi></mrow></munderover><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><msup><mi>z</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msup></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">+</mo><mi>α</mi><msup><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>s</mi></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2812 "LerchTranscendent" ;
    wdt:P31 wd:Q11348,
        wd:Q867707 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2781367352" ;
    wdt:P646 "/m/04v7tx" ;
    wdt:P6781 "Definition:Lerch_Transcendent" .