Dasaratha Shani Stotra

The following is from Skanda Purana.

Shani Shodasanama stotra
Kona shanaischaro mandah chhayaa hridayanandanahMaargandaja sudhaasouri neelavastraan janadyutihAbrahmanah kroorakroora karmaatangi grahanaayakahKrishnodharmaanujah shantah shushkodara varapradah

Apart from this reciting the following dashanama stotra of Shani by Dasharatha near a Pepal tree is also a highly recommended one.

Shani Dasanaama StotraKonastha pingalobabhruhKrishnoroudraantakoyamahSouri, shanaischaro mandahPippaladishu sansthitah

Dasaratha Shani Stotram
Om. asya shree shanaishchara stotrasyadashratha rishishanaish-charo-devatatrishtup chandahahshanaish-chara preety-arthe jape viniyogahdasharatha uvacha

Om. Sri Shani Stotra, Dasharatha is the Rishi (seer of the mantra). Shanaishchara is god (related to this hymn). Trishtup is metre. Enjoined is repetition (of this hymn) for the appeasement of Shanaishchara (Saturn).

kono-antaka roudra-yama-tha babhruhkrishnah shanih pingala manda sourihnityam smrito yo harate cha peedamtasmai namah shree ravi-nandanaya

Prostrations to Sri Ravinandana (Saturn), who when regularly remembered as (the ten names listed in the first and second line of this verse) steals away the suffering (misfortune of the devotee).

sura asurah kim purusha ragendragandharva vidyadhara panna-gash chapeedyanti sarve vishama-stitenatasmai namah shree ravi-nandanaya

Prostrations to Sri Ravinandana, by whose unfavourable position, gods, demons, celestial beings, celestial musicians, celestial masters of various wisdom-teachings and even celestial snakes succumb to sufferings.
nara narendra pashavo mrigendravanyas-cha ye keeta-patanga-bringahpeedyanti sarve vishama-stitenatasmai namah shree ravi-nandanaya

Prostrations to Sri Ravinandana, whose unfavourable position brings agony to laymen, emperors, common animals, huge animals, forest creatures, insects, flies and humming bees (irrespective of their status).

desah-cha durgani vanani Yatrasena-nivesah pura-pattnanipeedyanti sarve visham-stitenatasmai namah shree ravi-nandanaya

Prostrations to Sri Ravinandana, whose unfavourable position brings about suffering to countries, citadels, forests, war-camps, houses and cities.

tilairya-vair-masha gudanna danaihiohena neelambara danato vapreenati mantrair-nijavasare chatasmai namah shree ravi-nandanaya

Prostrations to Sri Ravinandana, who is appeased by giving in charity things like sesame, paddy, black-gram, molasses, rice pudding, iron, blue cloth etc., and by chanting mantras on his own day (Saturday).prayaga-koole Yamuna tate chasarasvati punya-jale guhayamyo yoginam dhyana-gatopi sookshmastasmai namah shree ravi-nandanayaProstrations to Sri Ravinandana, who manifests in subtle form before the yogis who meditate on him at any holy bank of prayag (confluence) of two rivers; Yamuna and Saraswati, or in a cave.

anya-pradeshat swagriham pravishtastadeeya-vare sa narah sukhe syatgrihad gato yo na punah prayatitasmai namah sri ravi-nandanaya

Prostrations to Sri Ravinandana, who bestows happiness to a person when He enters His own house (constellation); (though) when He leaves the house, does not return for a long time.

srashta swayam-bhoor bhuvana trayasyatrata hareesho harate pinakeeekas tridhah rig yajuh sama murtistasmai namah sri ravi-nandanaya

Prostrations to Sri Ravinandana, who is the creator of three worlds, who is the self-manifested being, who is Hari the protector and Pinakin (Siva, bearer of the three pointed spear or pinaka), the destroyer, all in one, as well as the embodiment of the three-fold Vedas; Rig, Yajus and Saman.

konasthah pingala babruhkrishno roudroantako yamahsourih shanaish-charo mandaypippalandena sam stutah

Thus, Pippalada praises Thee (by chanting your ten names as contained in lines 1-3).

etani dasha-namanipratar-uthaya yah pathetshanaishchara-krita peedana kadachid bhavishyati
Harih Om

He who chants these ten names, getting-up early in the morning, will never suffer from the pain caused by Saturn. Harih Om.

The following is the Dasaratha Shani Stotra from Padma Purana
Dhyaathwa Saraswatim Devim Gananatham Vinayakam. Raja Dasharathah sthothram Saureridhamathakaroth. Namo Neela mayukhaya Neelothpala nibhaya cha, Namo Nirmaansa dehaaya Deergha shmashru jataaya cha, Namo Vishaala nethraaya Shushkodhara bhayaanaka Namah parushagathraya sthularomaaya Vai namah Namo nithyam Kshudhaarthaaya Nithyathapthaya Vai namah Namah Kaalaagni rupaaya Krthaanthaka namoshthuthe, Nameste Kotaraakshaaya Durnireekshyaaya Vai namah Namo Ghoraaya Raudraaya Bheeshanaaya Karaaline Nameste Sarva bhakshaaya Valeemukha namosthuthe Surya putra namestesthu bhaskare bhaya dhayaka Adho-drushte namasthubhyam vapuhshyaama namosthuthe Namo Manda-gathe thubhyam nisthrinshaaya namo namah Thapasa dagdha-dehaya nithyam yogarathaya cha Namesthe gyaana nethraya kashyapathmaja sunave Thushto dadasi Vai raajyam rushto harasi Thathkshanaath Devaasura manushyaashcha pasupakshisareesrpaah Thvaya vilokithaah saure dainyamaashu Vrjanti cha Brahmaa shakro yamashchaiva rishayah saptha-tharakaah Rajya bhrashtaashcha t'e sarve thava drishtyaa vilokithaah Deshaa nagara graamaa dweepashechai vaadrayasththaa Raudra Dhrushtyaa t'u ye drushtaah kshayam gacchanti thath kshanaath Prasaadam Kuru me saure varaartheham thavaashrithah Saure kshamasvaaparaadham sarvabhutha hithaayacha