DakShinamoorthy Stótram by adi shankaracharya a laudatory hymn for this form of Siva.
ॐ मौनव्याख्या प्रकटितपरब्रह्मतत्वंयुवानं वर्शिष्ठान्तेवसदृषिगणैरावृतं ब्रह्मनिष्ठैः | आचार्येन्द्रं करकलित चिन्मुद्रमानन्दमूर्तिं स्वात्मरामं मुदितवदनं दक्षिणामूर्तिमीडे ‖
oṃ maunavyākhyā prakaṭita parabrahmatatvaṃ yuvānaṃ varśiṣṭhānte vasad ṛṣigaṇair āvṛtaṃ brahmaniṣṭhaiḥ | ācāryendraṃ karakalita cinmudram ānandamūrtiṃ svātmarāmaṃ muditavadanaṃ dakṣiṇāmūrtimīḍe ‖
I salute Śrī Dakṣiṇāmūrti, the Young Guru, who teaches the knowledge of Brahman through silence, who is surrounded by disciples, who are themselves ṛṣis and scholars in the Vedas. (I worship Śrī Dakṣiṇāmūrti), who is the teacher of teachers, whose hand is held in the sign of knowledge (cin-mudrā), whose nature is fullness, who reveals in himself, and who is ever silent.